{"id":1312,"date":"2024-10-05T10:49:36","date_gmt":"2024-10-05T05:19:36","guid":{"rendered":"https:\/\/www.techandtrain.com\/blog\/?p=1312"},"modified":"2025-10-22T14:50:34","modified_gmt":"2025-10-22T09:20:34","slug":"key-topics-for-random-processes-statistics-and-probability","status":"publish","type":"post","link":"https:\/\/www.techandtrain.com\/blog\/2024\/10\/key-topics-for-random-processes-statistics-and-probability\/","title":{"rendered":"Key Topics for Random Processes &amp; Statistics and Probability"},"content":{"rendered":"\n<p id=\"ember4991\"><strong>Comprehensive List of Topics for Random Processes:<\/strong><\/p>\n\n\n\n<p id=\"ember4992\">1. Stochastic Processes<\/p>\n\n\n\n<p id=\"ember4993\">2. Markov Chains<\/p>\n\n\n\n<p id=\"ember4994\">3. Continuous-Time Markov Chains<\/p>\n\n\n\n<p id=\"ember4995\">4. Markov Decision Processes (MDPs)<\/p>\n\n\n\n<p id=\"ember4996\">5. Random Walks<\/p>\n\n\n\n<p id=\"ember4997\">6. Poisson Processes<\/p>\n\n\n\n<p id=\"ember4998\">7. Renewal Processes<\/p>\n\n\n\n<p id=\"ember4999\">8. Stationary Processes<\/p>\n\n\n\n<p id=\"ember5000\">9. Weak and Strong Stationarity<\/p>\n\n\n\n<p id=\"ember5001\">10. Autocorrelation Function<\/p>\n\n\n\n<p id=\"ember5002\">11. Autoregressive Processes (AR)<\/p>\n\n\n\n<p id=\"ember5003\">12. Moving Average Processes (MA)<\/p>\n\n\n\n<p id=\"ember5004\">13. ARMA and ARIMA Models<\/p>\n\n\n\n<p id=\"ember5005\">14. ARCH and GARCH Models<\/p>\n\n\n\n<p id=\"ember5006\">15. Ergodicity<\/p>\n\n\n\n<p id=\"ember5007\">16. Brownian Motion (Wiener Process)<\/p>\n\n\n\n<p id=\"ember5008\">17. Fractional Brownian Motion<\/p>\n\n\n\n<p id=\"ember5009\">18. Gaussian Processes<\/p>\n\n\n\n<p id=\"ember5010\">19. L\u00e9vy Processes<\/p>\n\n\n\n<p id=\"ember5011\">20. Martingales<\/p>\n\n\n\n<p id=\"ember5012\">21. Submartingales and Supermartingales<\/p>\n\n\n\n<p id=\"ember5013\">22. Random Fields<\/p>\n\n\n\n<p id=\"ember5014\">23. Spectral Analysis of Time Series<\/p>\n\n\n\n<p id=\"ember5015\">24. Power Spectral Density<\/p>\n\n\n\n<p id=\"ember5016\">25. Cross-Correlation and Cross-Spectrum<\/p>\n\n\n\n<p id=\"ember5017\">26. Queuing Theory<\/p>\n\n\n\n<p id=\"ember5018\">27. Random Walk Hypothesis<\/p>\n\n\n\n<p id=\"ember5019\">28. Mean Reversion<\/p>\n\n\n\n<p id=\"ember5020\">29. Wiener-Khinchin Theorem<\/p>\n\n\n\n<p id=\"ember5021\">30. Entropy and Information Theory<\/p>\n\n\n\n<p id=\"ember5022\">31. Fokker-Planck Equation<\/p>\n\n\n\n<p id=\"ember5023\">32. Kolmogorov Equations<\/p>\n\n\n\n<p id=\"ember5024\">33. Jump Processes<\/p>\n\n\n\n<p id=\"ember5025\">34. Semi-Markov Processes<\/p>\n\n\n\n<p id=\"ember5026\">35. Diffusion Processes<\/p>\n\n\n\n<p id=\"ember5027\">36. Stochastic Differential Equations (SDEs)<\/p>\n\n\n\n<p id=\"ember5028\">37. Ito\u2019s Lemma<\/p>\n\n\n\n<p id=\"ember5029\">38. Langevin Equation<\/p>\n\n\n\n<p id=\"ember5030\">39. Filtering Theory (e.g., Kalman Filter)<\/p>\n\n\n\n<p id=\"ember5031\">40. Random Measures<\/p>\n\n\n\n<p id=\"ember5032\">41. Cox Processes<\/p>\n\n\n\n<p id=\"ember5033\">42. Birth-Death Processes<\/p>\n\n\n\n<p id=\"ember5034\">43. Time Series Analysis<\/p>\n\n\n\n<p id=\"ember5035\">44. Hidden Markov Models (HMM)<\/p>\n\n\n\n<p id=\"ember5036\">45. Self-Similar Processes<\/p>\n\n\n\n<p id=\"ember5037\">46. Long-Range Dependence<\/p>\n\n\n\n<p id=\"ember5038\">47. Hawkes Processes<\/p>\n\n\n\n<p id=\"ember5039\">48. Empirical Processes<\/p>\n\n\n\n<p id=\"ember5040\">49. Random Matrices<\/p>\n\n\n\n<p id=\"ember5041\">50. Random Graphs<\/p>\n\n\n\n<p id=\"ember5042\"><strong>Comprehensive List of Topics for Probability and Statistics:<\/strong><\/p>\n\n\n\n<p id=\"ember5043\">1. Basic Probability Theory<\/p>\n\n\n\n<p id=\"ember5044\">2. Axioms of Probability<\/p>\n\n\n\n<p id=\"ember5045\">3. Random Variables<\/p>\n\n\n\n<p id=\"ember5046\">4. Probability Mass Function (PMF)<\/p>\n\n\n\n<p id=\"ember5047\">5. Probability Density Function (PDF)<\/p>\n\n\n\n<p id=\"ember5048\">6. Cumulative Distribution Function (CDF)<\/p>\n\n\n\n<p id=\"ember5049\">7. Joint, Marginal, and Conditional Distributions<\/p>\n\n\n\n<p id=\"ember5050\">8. Expected Value (Mean)<\/p>\n\n\n\n<p id=\"ember5051\">9. Variance and Standard Deviation<\/p>\n\n\n\n<p id=\"ember5052\">10. Covariance and Correlation<\/p>\n\n\n\n<p id=\"ember5053\">11. Skewness and Kurtosis<\/p>\n\n\n\n<p id=\"ember5054\">12. Moments and Moment Generating Functions<\/p>\n\n\n\n<p id=\"ember5055\">13. Chebyshev\u2019s Inequality<\/p>\n\n\n\n<p id=\"ember5056\">14. Probability Generating Functions<\/p>\n\n\n\n<p id=\"ember5057\">15. Characteristic Functions<\/p>\n\n\n\n<p id=\"ember5058\">16. Law of Large Numbers<\/p>\n\n\n\n<p id=\"ember5059\">17. Central Limit Theorem<\/p>\n\n\n\n<p id=\"ember5060\">18. Convergence in Probability and Distribution<\/p>\n\n\n\n<p id=\"ember5061\">19. Bayes&#8217; Theorem<\/p>\n\n\n\n<p id=\"ember5062\">20. Bayesian Inference<\/p>\n\n\n\n<p id=\"ember5063\">21. Prior and Posterior Distributions<\/p>\n\n\n\n<p id=\"ember5064\">22. Hypothesis Testing<\/p>\n\n\n\n<p id=\"ember5065\">23. p-Values<\/p>\n\n\n\n<p id=\"ember5066\">24. Type I and Type II Errors<\/p>\n\n\n\n<p id=\"ember5067\">25. Confidence Intervals<\/p>\n\n\n\n<p id=\"ember5068\">26. Sampling Distributions<\/p>\n\n\n\n<p id=\"ember5069\">27. Point Estimation<\/p>\n\n\n\n<p id=\"ember5070\">28. Maximum Likelihood Estimation (MLE)<\/p>\n\n\n\n<p id=\"ember5071\">29. Method of Moments<\/p>\n\n\n\n<p id=\"ember5072\">30. Bayesian Estimation<\/p>\n\n\n\n<p id=\"ember5073\">31. Interval Estimation<\/p>\n\n\n\n<p id=\"ember5074\">32. Sampling Theory<\/p>\n\n\n\n<p id=\"ember5075\">33. Markov Property<\/p>\n\n\n\n<p id=\"ember5076\">34. Monte Carlo Methods<\/p>\n\n\n\n<p id=\"ember5077\">35. Bootstrap and Resampling Methods<\/p>\n\n\n\n<p id=\"ember5078\">36. Permutation Tests<\/p>\n\n\n\n<p id=\"ember5079\">37. Experimental Design<\/p>\n\n\n\n<p id=\"ember5080\">38. Analysis of Variance (ANOVA)<\/p>\n\n\n\n<p id=\"ember5081\">39. Factorial Designs<\/p>\n\n\n\n<p id=\"ember5082\">40. Regression Analysis<\/p>\n\n\n\n<p id=\"ember5083\">41. Linear Regression<\/p>\n\n\n\n<p id=\"ember5084\">42. Multiple Linear Regression<\/p>\n\n\n\n<p id=\"ember5085\">43. Logistic Regression<\/p>\n\n\n\n<p id=\"ember5086\">44. Polynomial Regression<\/p>\n\n\n\n<p id=\"ember5087\">45. Generalized Linear Models (GLM)<\/p>\n\n\n\n<p id=\"ember5088\">46. Mixed-Effects Models<\/p>\n\n\n\n<p id=\"ember5089\">47. Time Series Analysis<\/p>\n\n\n\n<p id=\"ember5090\">48. Non-parametric Statistics<\/p>\n\n\n\n<p id=\"ember5091\">49. Parametric vs. Non-Parametric Tests<\/p>\n\n\n\n<p id=\"ember5092\">50. Goodness-of-Fit Tests (e.g., Chi-Square Test)<\/p>\n\n\n\n<p id=\"ember5093\">51. Multivariate Statistics<\/p>\n\n\n\n<p id=\"ember5094\">52. Principal Component Analysis (PCA)<\/p>\n\n\n\n<p id=\"ember5095\">53. Factor Analysis<\/p>\n\n\n\n<p id=\"ember5096\">54. Discriminant Analysis<\/p>\n\n\n\n<p id=\"ember5097\">55. Canonical Correlation Analysis<\/p>\n\n\n\n<p id=\"ember5098\">56. Clustering (K-means, Hierarchical)<\/p>\n\n\n\n<p id=\"ember5099\">57. Classification Techniques<\/p>\n\n\n\n<p id=\"ember5100\">58. Decision Trees<\/p>\n\n\n\n<p id=\"ember5101\">59. Random Forests<\/p>\n\n\n\n<p id=\"ember5102\">60. Support Vector Machines (SVM)<\/p>\n\n\n\n<p id=\"ember5103\">61. Naive Bayes Classifier<\/p>\n\n\n\n<p id=\"ember5104\">62. Bayesian Networks<\/p>\n\n\n\n<p id=\"ember5105\">63. Hidden Markov Models (HMMs)<\/p>\n\n\n\n<p id=\"ember5106\">64. Time Series Forecasting<\/p>\n\n\n\n<p id=\"ember5107\">65. AR, MA, and ARIMA Models<\/p>\n\n\n\n<p id=\"ember5108\">66. Seasonal Decomposition<\/p>\n\n\n\n<p id=\"ember5109\">67. Exponential Smoothing<\/p>\n\n\n\n<p id=\"ember5110\">68. Cointegration and Error Correction Models<\/p>\n\n\n\n<p id=\"ember5111\">69. Time-Varying Volatility Models (ARCH\/GARCH)<\/p>\n\n\n\n<p id=\"ember5112\">70. Survival Analysis<\/p>\n\n\n\n<p id=\"ember5113\">71. Reliability Theory<\/p>\n\n\n\n<p id=\"ember5114\">72. Extreme Value Theory<\/p>\n\n\n\n<p id=\"ember5115\">73. Risk Analysis<\/p>\n\n\n\n<p id=\"ember5116\">74. Quality Control and SPC<\/p>\n\n\n\n<p id=\"ember5117\">75. Experimental Design and RCTs<\/p>\n\n\n\n<p id=\"ember5118\">76. Empirical Bayes Methods<\/p>\n\n\n\n<p id=\"ember5119\">77. Robust Statistics<\/p>\n\n\n\n<p id=\"ember5120\">78. Statistical Learning Theory<\/p>\n\n\n\n<p id=\"ember5121\">79. Bootstrap Confidence Intervals<\/p>\n\n\n\n<p id=\"ember5122\">80. Empirical Likelihood<\/p>\n\n\n\n<p id=\"ember5123\">81. Kernel Density Estimation<\/p>\n\n\n\n<p id=\"ember5124\">82. Probability Inequalities (e.g., Jensen\u2019s Inequality)<\/p>\n\n\n\n<p id=\"ember5125\">83. Asymptotic Theory<\/p>\n\n\n\n<p id=\"ember5126\">84. Sequential Analysis<\/p>\n\n\n\n<p id=\"ember5127\">85. Influence Functions<\/p>\n\n\n\n<p id=\"ember5128\">86. U-statistics<\/p>\n\n\n\n<p id=\"ember5129\">87. Sufficient Statistics<\/p>\n\n\n\n<p id=\"ember5130\">88. Exponential Families<\/p>\n\n\n\n<p id=\"ember5131\">89. Decision Theory<\/p>\n\n\n\n<p id=\"ember5132\">90. Game Theory<\/p>\n\n\n\n<p id=\"ember5133\">91. Utility Theory<\/p>\n\n\n\n<p id=\"ember5134\">92. Meta-Analysis<\/p>\n\n\n\n<p id=\"ember5135\">93. Statistical Computing<\/p>\n\n\n\n<p id=\"ember5136\">94. Missing Data Techniques<\/p>\n\n\n\n<p id=\"ember5137\">95. Spatial Statistics<\/p>\n\n\n\n<p id=\"ember5138\">96. Functional Data Analysis<\/p>\n\n\n\n<p id=\"ember5139\">97. Multilevel Models<\/p>\n\n\n\n<p id=\"ember5140\">98. Time-Varying Coefficient Models<\/p>\n\n\n\n<p id=\"ember5141\">99. Causal Inference<\/p>\n\n\n\n<p id=\"ember5142\">100. Propensity Score Matching<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Email me: <a href=\"mailto:Neil@HarwaniSytems.in\">Neil@HarwaniSytems.in<\/a><\/li>\n\n\n\n<li>Website: <a href=\"http:\/\/www.harwanisystems.in\/\">www.HarwaniSystems.in<\/a><\/li>\n\n\n\n<li>Blog: <a href=\"http:\/\/www.techandtrain.com\/blog\">www.TechAndTrain.com\/blog<\/a><\/li>\n\n\n\n<li>LinkedIn: <a href=\"https:\/\/www.linkedin.com\/in\/neil27\/\">Neil Harwani | LinkedIn<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Comprehensive List of Topics for Random Processes: 1. Stochastic Processes 2. Markov Chains 3. Continuous-Time Markov Chains 4. Markov Decision [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":1313,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[393,389],"tags":[390,392,148],"class_list":["post-1312","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-random-processes","category-statistics-and-probability","tag-probability","tag-random-processes","tag-statistics"],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/10\/Statistics.png?fit=1280%2C717&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7do02-la","jetpack-related-posts":[{"id":1532,"url":"https:\/\/www.techandtrain.com\/blog\/2026\/04\/keywords-notes-from-executive-masters-in-data-science-for-decision-making-at-iit-gandhinagar-part-1-assisted-by-chatgpt\/","url_meta":{"origin":1312,"position":0},"title":"Keywords &amp; Notes from Executive Masters in Data Science for Decision Making at IIT Gandhinagar &#8211; Part 1 &#8211; Assisted by ChatGPT","author":"Neil Harwani","date":"April 11, 2026","format":false,"excerpt":"Here are 20 high-quality keywords for each category, structured for learning, research, and practical application: 1. Advanced Probability & Statistics Bayesian Inference Markov Chains Stochastic Processes Central Limit Theorem Hypothesis Testing Maximum Likelihood Estimation (MLE) Bayesian Networks Copulas Multivariate Distributions Monte Carlo Simulation Gibbs Sampling Hidden Markov Models (HMM) Variational\u2026","rel":"","context":"In &quot;Academics&quot;","block_context":{"text":"Academics","link":"https:\/\/www.techandtrain.com\/blog\/category\/academics\/"},"img":{"alt_text":"Image credit: www.Pixabay.com","src":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2026\/04\/DS-scaled.jpg?fit=1200%2C800&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2026\/04\/DS-scaled.jpg?fit=1200%2C800&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2026\/04\/DS-scaled.jpg?fit=1200%2C800&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2026\/04\/DS-scaled.jpg?fit=1200%2C800&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2026\/04\/DS-scaled.jpg?fit=1200%2C800&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":557,"url":"https:\/\/www.techandtrain.com\/blog\/2020\/02\/what-are-we-doing-in-ai-ml-data-science-decision-science-analytics-world-glossary\/","url_meta":{"origin":1312,"position":1},"title":"What are we doing in AI \/ ML \/ Data Science \/ Decision Science \/ Analytics World? &#8211; Glossary","author":"Neil Harwani","date":"February 17, 2020","format":false,"excerpt":"Over the last few years I have explored, programmed, worked in, researched and taught Data Science \/ AI \/ ML \/ Analytics \/ Decision Science to multiple students and with many software professionals. I have collected many keywords that you can google and explore. This will help you to keep\u2026","rel":"","context":"In &quot;Analytics&quot;","block_context":{"text":"Analytics","link":"https:\/\/www.techandtrain.com\/blog\/category\/analytics\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2020\/02\/Mathematics.jpg?fit=960%2C490&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2020\/02\/Mathematics.jpg?fit=960%2C490&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2020\/02\/Mathematics.jpg?fit=960%2C490&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2020\/02\/Mathematics.jpg?fit=960%2C490&ssl=1&resize=700%2C400 2x"},"classes":[]},{"id":1299,"url":"https:\/\/www.techandtrain.com\/blog\/2024\/08\/resources-on-advanced-statistics-probability-as-per-chatgpt\/","url_meta":{"origin":1312,"position":2},"title":"Resources on Advanced Statistics &amp; Probability as per ChatGPT","author":"Neil Harwani","date":"August 29, 2024","format":false,"excerpt":"Here\u2019s a list of some excellent resources across various formats\u2014books, YouTube channels, and blogs\u2014that cover advanced statistics and probability theories: Books: 1. \"Introduction to Probability\" by Dimitri P. Bertsekas and John N. Tsitsiklis - A comprehensive introduction to probability, available for free in PDF form on MIT's OpenCourseWare. - [Link\u2026","rel":"","context":"In &quot;Statistics and probability&quot;","block_context":{"text":"Statistics and probability","link":"https:\/\/www.techandtrain.com\/blog\/category\/statistics-and-probability\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/08\/Stats.png?fit=1200%2C628&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/08\/Stats.png?fit=1200%2C628&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/08\/Stats.png?fit=1200%2C628&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/08\/Stats.png?fit=1200%2C628&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/08\/Stats.png?fit=1200%2C628&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":1426,"url":"https:\/\/www.techandtrain.com\/blog\/2025\/02\/top-100-mathematics-keywords-for-data-science-part-1\/","url_meta":{"origin":1312,"position":3},"title":"Top 100 mathematics keywords for Data Science &#8211; Part 1","author":"Neil Harwani","date":"February 22, 2025","format":false,"excerpt":"Whoever is teaching you data science without teaching you Mathematics especially optimization is not teaching it right to you. That's my biggest learning from Master of Data Science at IIT Gandhinagar - it will take you good 2 years to learn the related mathematics in all four major areas below.\u2026","rel":"","context":"In &quot;Data Science&quot;","block_context":{"text":"Data Science","link":"https:\/\/www.techandtrain.com\/blog\/category\/data-science\/"},"img":{"alt_text":"Image credit: www.Pixabay.com","src":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2025\/02\/Data.jpg?fit=1200%2C801&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2025\/02\/Data.jpg?fit=1200%2C801&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2025\/02\/Data.jpg?fit=1200%2C801&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2025\/02\/Data.jpg?fit=1200%2C801&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2025\/02\/Data.jpg?fit=1200%2C801&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":1386,"url":"https:\/\/www.techandtrain.com\/blog\/2024\/11\/time-series-modelling-part-1-as-per-chatgpt-and-gemini\/","url_meta":{"origin":1312,"position":4},"title":"Time series modelling &#8211; Part 1 as per ChatGPT and Gemini","author":"Neil Harwani","date":"November 30, 2024","format":false,"excerpt":"Reference: Term 2 - DSDM | IITGNX Here\u2019s a concise list of types of time series, each with a short explanation and example: 1. Univariate Time Series Explanation: Tracks a single variable over time. Example: Daily temperature readings in a city. 2. Multivariate Time Series Explanation: Tracks multiple variables over\u2026","rel":"","context":"In &quot;Time Series&quot;","block_context":{"text":"Time Series","link":"https:\/\/www.techandtrain.com\/blog\/category\/time-series\/"},"img":{"alt_text":"Credits: www.Pixabay.com","src":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/11\/clocks.jpg?fit=1200%2C800&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/11\/clocks.jpg?fit=1200%2C800&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/11\/clocks.jpg?fit=1200%2C800&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/11\/clocks.jpg?fit=1200%2C800&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2024\/11\/clocks.jpg?fit=1200%2C800&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":740,"url":"https:\/\/www.techandtrain.com\/blog\/2021\/08\/devops-in-networked-technology-infused-world\/","url_meta":{"origin":1312,"position":5},"title":"DevOps in Networked &#038; Technology infused world","author":"Neil Harwani","date":"August 8, 2021","format":false,"excerpt":"My original article below, co-authored with Prof. Nityesh Bhatt. An abridged & modified version of this was published in a leading magazine. Advice to youngsters, be your own publishing house \u2013 you have Amazon, LinkedIn, your own blog & website, multiple other good platforms, peer reviewed open access & top\u2026","rel":"","context":"In &quot;DevOps&quot;","block_context":{"text":"DevOps","link":"https:\/\/www.techandtrain.com\/blog\/category\/devops\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2021\/08\/DevOps.jpg?fit=1036%2C595&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2021\/08\/DevOps.jpg?fit=1036%2C595&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2021\/08\/DevOps.jpg?fit=1036%2C595&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.techandtrain.com\/blog\/wp-content\/uploads\/2021\/08\/DevOps.jpg?fit=1036%2C595&ssl=1&resize=700%2C400 2x"},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/posts\/1312","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/comments?post=1312"}],"version-history":[{"count":1,"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/posts\/1312\/revisions"}],"predecessor-version":[{"id":1314,"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/posts\/1312\/revisions\/1314"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/media\/1313"}],"wp:attachment":[{"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/media?parent=1312"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/categories?post=1312"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.techandtrain.com\/blog\/wp-json\/wp\/v2\/tags?post=1312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}