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Combined display of all available logs of Significant Statistics. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)- 17:55, 10 October 2019 Foojt (talk | contribs) created page File:Jensen1.png (Jensen's Inequality)
- 17:55, 10 October 2019 Foojt (talk | contribs) uploaded File:Jensen1.png (Jensen's Inequality)
- 17:54, 10 October 2019 Foojt (talk | contribs) uploaded a new version of File:Jensen.png
- 16:01, 6 September 2019 Foojt (talk | contribs) deleted page Main Page (content was: "==Grad-level Probability and Statistics Lecture Notes== Lecture 1: Probability Theory, Probability Space, Random Variables, Cumulative Distribution Function")
- 16:00, 6 September 2019 Foojt (talk | contribs) deleted page Grad-level Probability and Statistics Lecture Notes (content was: "__NOTOC__ <div class="mainpage_row"> <div class="mainpage_box"> <table cellspacing="0"> <tr> <td rowspan="2"><font size="40" face="ar...", and the only contributor was "Foojt" (talk))
- 15:57, 6 September 2019 Foojt (talk | contribs) created page Graduate Level: Intro to Probability and Statistics (Created page with "__NOTOC__ = Lecture Notes = <div class="mainpage_row"> <div class="mainpage_box"> <table cellspacing="0"> <tr> <td rowspan="2"><font size="40" face="arial">01</font></t...")
- 14:11, 6 September 2019 Foojt (talk | contribs) created page Full Lecture 18 (Created page with "{{#lst:Lecture 18. A) Multicollinearity|section1}} {{#lst:Lecture 18. B) Partitioned Regression|section1}} {{#lst:Lecture 18. C) Gauss-Markov Theorem|section1}}")
- 14:09, 6 September 2019 Foojt (talk | contribs) created page Full Lecture 17 (Created page with "= Lecture 17 = {{#lst:Lecture 17. A) Ordinary Least Squares|section1}} {{#lst:Lecture 17. B) Normal Linear Model|section1}} {{#lst:Lecture 17. C) Asymptotic Properties of OLS...")
- 19:52, 5 September 2019 Foojt (talk | contribs) created page Lecture 18. C) Gauss-Markov Theorem (Created page with "= Gauss-Markov Theorem = The Gauss Markov theorem is an important result for the OLS estimator. It does not depend on asymptotics or normality assumptions. It states that, in...")
- 19:50, 5 September 2019 Foojt (talk | contribs) created page Lecture 18. B) Partitioned Regression (Created page with "= Partitioned Regression = Partitioned regression is a method to understand how some parameters in OLS depend on others. Consider the decomposition of the linear regression e...")
- 19:49, 5 September 2019 Foojt (talk | contribs) created page File:Proj.png
- 19:49, 5 September 2019 Foojt (talk | contribs) uploaded File:Proj.png
- 19:48, 5 September 2019 Foojt (talk | contribs) created page Lecture 18. A) Multicollinearity (Created page with "= Multicollinearity = Consider the case where <math display="inline">X</math> is given by: <math display="block">X=\overset{\begin{array}{ccc} \beta_{0} & \beta_{1} & \beta_...")
- 19:47, 5 September 2019 Foojt (talk | contribs) created page Lecture 17. D) Bootstrapping (Created page with "= Bootstrapping = The origin of the term “bootstrapping” may relate to someone pulling themselves up by their own boot straps/laces. In a sense, it means making do with l...")
- 19:46, 5 September 2019 Foojt (talk | contribs) created page Lecture 17. C) Asymptotic Properties of OLS (Created page with "= Asymptotic Properties of OLS = We now allow, * <math display="inline">X</math> to be random variables * <math display="inline">\varepsilon</math> to not necessarily be no...")
- 19:42, 5 September 2019 Foojt (talk | contribs) created page Lecture 17. B) Normal Linear Model (Created page with "= Normal Linear Model = In the previous example, the notion of random variable wasn’t mentioned. We simply wanted to draw a predictive line along some points. In this examp...")
- 19:37, 5 September 2019 Foojt (talk | contribs) created page Lecture 17. A) Ordinary Least Squares (Created page with "= Ordinary Least Squares = Suppose we have some data <math display="inline">\left\{ x_{i},y_{i}\right\} _{i=1}^{N}</math>. We would like to relate it through a line, i.e., A...")
- 17:21, 4 September 2019 Foojt (talk | contribs) deleted page Lecture 16 H) Theorem: Berstein von-Mises (content was: "<div class="fxwidth"> <div style='text-align: left;float:left;width:50%;'><< Multiple Parameters</div...", and the only contributor was "Foojt" (talk))
- 17:20, 4 September 2019 Foojt (talk | contribs) deleted page Lecture 15. F) Theorem: Berstein von-Mises (content was: "<div class="fxwidth"> <div style='text-align: left;float:left;width:50%;'><< Multiple Parameters</div...", and the only contributor was "Foojt" (talk))
- 17:19, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. H) Theorem: Berstein von-Mises (Created page with "<div class="fxwidth"> <div style='text-align: left;float:left;width:50%;'><< Multiple Observations</div></br> <section begin=section1...")
- 17:16, 4 September 2019 Foojt (talk | contribs) created page Lecture 16 H) Theorem: Berstein von-Mises (Created page with "<div class="fxwidth"> <div style='text-align: left;float:left;width:50%;'><< Multiple Parameters</div></br> <section begin=section1 /> =...")
- 17:14, 4 September 2019 Foojt (talk | contribs) created page Full Lecture 16 (Created page with "= Lecture 16 = {{#lst:Lecture 16. A) Bayesian Inference|section1}} {{#lst:Lecture 16. B) Example: Coin Tossing|section1}} {{#lst:Lecture 16. C) A More General Example|section1...")
- 17:13, 4 September 2019 Foojt (talk | contribs) created page Full Lecture 15 (Created page with "= Lecture 15 = {{#lst:Lecture 15. A) Asymptotic Properties of ML Estimators|section1}} {{#lst:Lecture 15. B) Some Implications|section1}} {{#lst:Lecture 15. C) Example: Hypoth...")
- 17:02, 4 September 2019 Foojt (talk | contribs) created page Lecture 15. F) Theorem: Berstein von-Mises (Created page with "= Theorem: Berstein von-Mises = Let <math display="inline">\widehat{\theta}_{B}</math> be a point estimator for Bayesian inference (i.e., <math display="inline">\widehat{\thet...")
- 16:59, 4 September 2019 Foojt (talk | contribs) deleted page Lecture 17. E) Example: Normal Distribution (content was: "= Example: Normal Distribution = Let <math display="inline">\sigma^{2}</math> be known, and * Likelihood: <math display="inline">f_{\left....", and the only contributor was "Foojt" (talk))
- 16:59, 4 September 2019 Foojt (talk | contribs) deleted page Lecture 17. D) Conjugate Priors (content was: "= Conjugate Priors = You may have noticed that we started out with a Beta prior, and ended with a Beta posterior; the only different between...", and the only contributor was "Foojt" (talk))
- 16:59, 4 September 2019 Foojt (talk | contribs) deleted page Lecture 17. F) "Counterexample" (content was: "= "Counterexample" = Consider now a case where conjugate priors are not used. * Likelihood: <math display="inline">f_{\left.X\right|\mu}=N...", and the only contributor was "Foojt" (talk))
- 16:59, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. D) Conjugate Priors (Created page with "= Conjugate Priors = You may have noticed that we started out with a Beta prior, and ended with a Beta posterior; the only different between the distributions are the paramete...")
- 16:58, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. E) Normal Distribution (Created page with "= Example: Normal Distribution = Let <math display="inline">\sigma^{2}</math> be known, and * Likelihood: <math display="inline">f_{\left.X\right|\mu}=N\left(\mu,1\right)</m...")
- 16:58, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. F) "Counterexample" (Created page with "= "Counterexample" = Consider now a case where conjugate priors are not used. * Likelihood: <math display="inline">f_{\left.X\right|\mu}=N\left(\mu,1\right)</math> * Prior:...")
- 16:57, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. G) Multiple Observations (Created page with "= Multiple Observations = In the normal case for a single observation, the following holds: <math display="block">\left.\begin{array}{c} f_{\left.X\right|\mu}=N\left(\mu,\si...")
- 16:54, 4 September 2019 Foojt (talk | contribs) created page Lecture 17. F) "Counterexample" (Created page with "= "Counterexample" = Consider now a case where conjugate priors are not used. * Likelihood: <math display="inline">f_{\left.X\right|\mu}=N\left(\mu,1\right)</math> * Prior:...")
- 16:52, 4 September 2019 Foojt (talk | contribs) created page Lecture 17. E) Example: Normal Distribution (Created page with "= Example: Normal Distribution = Let <math display="inline">\sigma^{2}</math> be known, and * Likelihood: <math display="inline">f_{\left.X\right|\mu}=N\left(\mu,1\right)</m...")
- 16:50, 4 September 2019 Foojt (talk | contribs) created page Lecture 17. D) Conjugate Priors (Created page with "= Conjugate Priors = You may have noticed that we started out with a Beta prior, and ended with a Beta posterior; the only different between the distributions are the paramete...")
- 16:50, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. C) A More General Example (Created page with "= A more general example = * Likelihood: <math display="inline">f\left(\left.x\right|p\right)=p^{x}\left(1-p\right)^{1-x}1\left(x\in\left\{ 0,1\right\} \right)</math>, before...")
- 16:48, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. B) Example: Coin Tossing (Created page with "= Example: Coin Tossing = * Likelihood: <math display="inline">f\left(\left.x\right|p\right)=p^{x}\left(1-p\right)^{1-x}1\left(x\in\left\{ 0,1\right\} \right)</math> * Prior...")
- 16:47, 4 September 2019 Foojt (talk | contribs) created page File:Bayes2.png
- 16:47, 4 September 2019 Foojt (talk | contribs) uploaded File:Bayes2.png
- 16:47, 4 September 2019 Foojt (talk | contribs) created page File:Bayes1.png
- 16:47, 4 September 2019 Foojt (talk | contribs) uploaded File:Bayes1.png
- 16:45, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. A) Bayesian Inference (Created page with "= Bayesian Inference = In the classical approach, a probability is regarded as a long run frequency/propensity. We take random samples from a population of infinite size, and...")
- 16:44, 4 September 2019 Foojt (talk | contribs) deleted page Lecture 16. E) Multiple Parameters (content was: "= Example: Multiple Parameters = Let <math display="inline">X_{i}\sim\overset{iid}{\sim}N\left(\mu,\sigma^{2}\right)</math> where <math dis...", and the only contributor was "Foojt" (talk))
- 16:44, 4 September 2019 Foojt (talk | contribs) created page Lecture 15. E) Multiple Parameters (Created page with "= Example: Multiple Parameters = Let <math display="inline">X_{i}\sim\overset{iid}{\sim}N\left(\mu,\sigma^{2}\right)</math> where <math display="inline">\mu</math> and <math...")
- 16:43, 4 September 2019 Foojt (talk | contribs) created page Lecture 16. E) Multiple Parameters (Created page with "= Example: Multiple Parameters = Let <math display="inline">X_{i}\sim\overset{iid}{\sim}N\left(\mu,\sigma^{2}\right)</math> where <math display="inline">\mu</math> and <math...")
- 16:39, 4 September 2019 Foojt (talk | contribs) created page Lecture 15. D) Example: Exponential Distribution (Created page with "= Example: Exponential Distribution = Let <math display="inline">X_{1}..X_{n}</math> be a random sample with density <math display="block">f\left(\left.x\right|\theta\right)=...")
- 16:38, 4 September 2019 Foojt (talk | contribs) created page Lecture 15. C) Example: Hypothesis Test (Created page with "= Example: Hypothesis Test = Let <math display="inline">X_{1}..X_{n}</math> be a random sample with Poisson distribution <math display="block">f\left(\left.x\right|\theta\ri...")
- 16:35, 4 September 2019 Foojt (talk | contribs) created page Lecture 15. B) Some Implications (Created page with "= Some Implications = * If one has access to <math display="inline">I\left(\theta_{0}\right)^{-1}</math>, or one can approximate it via some estimator say <math display="inli...")
- 16:33, 4 September 2019 Foojt (talk | contribs) created page Lecture 15. A) Asymptotic Properties of ML Estimators (Created page with "= Asymptotic Properties of ML Estimators = Up to now, we have derived the distributions of several test statistics. This has been a relatively tedious process, however. For...")
- 16:27, 4 September 2019 Foojt (talk | contribs) created page Lecture 4. H) Dirac delta function (Created page with "<div class="fxwidth"> <div style='text-align: left;float:left;width:50%;'><< Normal</div></br> <section begin=section1 /> = Dirac delta function = Th...")
- 14:23, 3 September 2019 Foojt (talk | contribs) deleted page Lecture 13. F) Some Notes on Notation (content was: "<div class="fxwidth"> <div style='text-align: left;float:left;width:50%;'><< p-value</div> <div style='text-align...", and the only contributor was "Foojt" (talk))