Tag: proof

55 How exactly did statisticians agree to using (n-1) as the unbiased estimator for population variance without simulation? 2014-05-26T00:09:19.983

33 Is it possible to prove a null hypothesis? 2011-01-13T16:46:34.553

23 KL divergence between two multivariate Gaussians 2013-06-02T20:50:33.427

17 Proof that moment generating functions uniquely determine probability distributions 2012-08-23T15:43:42.717

17 Uniform random variable as sum of two random variables 2014-11-24T23:39:21.747

15 Problem with proof of Conditional expectation as best predictor 2013-10-04T00:24:13.043

12 Sum of two normal products is Laplace? 2013-09-26T13:24:49.527

12 Prove the equivalence of the following two formulas for Spearman correlation 2014-03-07T05:05:20.397

10 Question about a normal equation proof 2013-07-02T14:58:56.430

10 The concept of 'proven statistically' 2014-02-05T14:44:52.647

10 Deriving the bivariate Poisson distribution 2014-07-21T12:16:06.160

10 Show that if $X \sim Bin(n, p)$, then $E|X - np| \le \sqrt{npq}.$ 2014-12-14T21:38:25.610

9 Is the negative binomial not expressible as in the exponential family if there are 2 unknowns? 2014-09-30T16:14:01.057

9 Is there an elegant/insightful way to understand this linear regression identity for multiple $R^2$? 2014-11-20T22:21:54.473

9 Clustering -- Intuition behind Kleinberg's Impossibility Theorem 2015-09-20T08:29:34.097

8 Quantile regression estimator formula 2014-03-01T17:06:22.730

8 Proving the LATE Theorem of Angrist and Imbens 1994 2014-09-26T20:03:06.610

8 How to Prove that an Event Occurs Infinitely Often (Almost Surely)? 2015-08-06T13:04:01.263

7 Testing (and proving) the randomness of numbers 2010-07-21T04:34:45.700

7 Distribution of a centered standardized sample 2012-08-01T20:18:59.783

7 Is it possible to have an estimator that is unbiased and bounded? 2013-06-10T03:41:12.240

7 Coverage Proof of Confidence Intervals 2014-03-09T18:51:45.197

7 Proof / derivation of skewness and kurtosis formulas 2014-08-12T16:15:19.157

7 Explanation of formula for median closest point to origin of N samples from unit ball 2015-01-02T18:32:58.780

7 Problem with proof - why exponentially smoothed time series is biased 2015-12-31T16:27:52.033

6 How would one formally prove that the OOB error in random forest is unbiased? 2014-07-04T14:43:04.503

6 Proving Linear Estimator (beta) is BLUE? 2014-09-17T01:42:45.070

6 Proof that the probability of one RV being larger than $n-1$ others is $\frac{1}{n}$ 2015-01-15T21:26:42.167

6 A strange step on a proof about the distribution of quadratic forms 2015-05-30T11:21:09.230

6 Decomposition of average squared bias (in Elements of Statistical Learning) 2016-03-15T09:10:04.020

5 Regression Proof that the point of averages (x,y) lies on the estimated regression line 2010-11-02T01:22:05.690

5 Proofs of the central limit theroem 2012-05-18T08:09:54.430

5 Sufficiency of order statistics 2014-01-28T05:17:48.240

5 E[g(Y)] proof question 2014-02-22T04:08:32.643

5 "Only if" and "if" direction in Kolmogorov's Existence Theorem 2015-02-12T18:21:30.500

5 Variance of linear combinations of correlated random variables 2015-07-07T01:23:50.370

5 Conceptual proof that conditional of a multivariate Gaussian is multivariate Gaussian 2015-07-14T09:36:50.417

5 Partition data into two sets such that the difference of their variance is minimal 2015-07-17T13:50:01.360

5 How to demonstrate that the cumulative distribution functions of a binomial and negative binomial variable are complements? 2016-09-29T14:50:46.620

5 What does "def" above an equals sign mean? 2016-10-09T14:27:26.947

5 Random variables and distribution functions relation 2016-12-20T05:49:38.200

5 Basic probability proof 2017-01-06T07:23:35.280

5 Why is Training Neural Nets a Non-Convex Optimization Problem? 2017-01-14T00:03:16.247

4 Proof without Jensen 2012-04-27T03:17:53.177

4 Limit of c.d.f. of Poisson($n$) when $n$ goes to infinity 2013-06-16T22:10:32.187

4 Basic proof of mixture models 2013-07-16T11:49:48.790

4 Looking for a proof of this statement 2013-09-25T11:04:02.840

4 Independence of a linear and a quadratic form 2014-05-07T20:35:47.280

4 Proving some properties of expected first order statistics with respect to sample size 2014-07-26T07:58:02.060

4 Equivalence of random effects via likelihood and smoothed splines 2014-09-12T13:25:15.467

4 Poisson as a limiting case of negative binomial 2014-10-07T21:10:51.783

4 How to prove Bernoulli distribution belongs to the exponential family 2014-11-27T20:06:53.410

4 Proving a distribution is a member of the simple exponential family 2015-02-04T19:39:58.620

4 Proof of Kolmogorov-Smirnov test 2015-03-07T21:30:19.210

4 Transformation of a random vector 2015-06-05T02:14:13.687

4 Is $\text{Cov}(|a|,|b|)\geq \text{Cov}(a,b)$? 2015-06-20T09:47:42.230

4 Generalized inverse solution to system of linear equations proof 2015-06-24T19:16:08.130

4 Are products of independent random variables independent? 2015-09-07T10:44:16.900

4 regression sum of squares in multiple linear regression 2016-06-26T19:30:47.307

4 Proof with probability inequalities and infinite sequences 2016-08-04T22:47:31.247

4 Optimality of the Bayes classifier 2016-09-25T16:05:43.180

3 Large deviations proof question 2010-10-25T03:31:56.330

3 Dual problem for L2 support vector machine 2011-03-08T12:01:10.703

3 Proof of how the normal distribution arises as the limit of the binomial — where do $\pi$ and $e$ come from? 2012-04-26T01:58:16.853

3 Under what conditions can a PLS regression model be expressed by single linear equation? 2012-07-05T11:38:53.330

3 Proving the convergence of KDE algorithms when the samples are non-i.i.d 2012-07-21T18:02:46.877

3 Proof of a PD covariance matrix for conditional Gaussian 2013-05-11T19:13:43.423

3 Diagonal elements of the projection matrix 2013-06-17T13:06:51.177

3 How to prove that a t-distribution can be written as a ratio distribution? 2013-10-21T14:58:19.417

3 Variance of a sample - proof 2013-11-09T20:15:30.467

3 Least squares with equal predictors 2014-02-04T03:20:31.607

3 Proof that omitted variable bias may lead to endogeneity 2014-03-06T23:04:05.557

3 Prove that this exponential kernel is positive definite 2014-04-22T14:27:38.670

3 Proof that the weighted sum of $n$ PDFs is a valid PDF 2014-05-03T09:54:11.260

3 Expectation, Variance and Correlation of a bivariate Lognormal distribution 2015-01-09T22:36:44.603

3 Is a covariance matrix composed of matrixes derived from separate samples guaranteed to be positive definitive? 2015-04-16T12:39:26.903

3 Regression Tree Impurity 2015-08-20T14:24:34.363

3 How to prove or disprove this function is valid kernel? 2015-11-23T20:17:35.980

3 Prove that sum of uniform distribution (-1,1) is also uniform (-n,n)? 2016-01-06T20:34:34.753

3 Prove $\sigma^2(aX+b)=a^2\sigma^2(X)$ for discrete random variable 2016-01-31T08:00:26.263

3 Proving that cosine distance function defined by cosine similarity between two unit vectors does not satisfy triangle inequality 2016-02-23T11:21:25.363

3 Trouble understanding result in Simes (1986) $pr\{ P_{(j)} > \frac{j\alpha}{n} ; j = 1,...,n \} = 1-\alpha$ 2016-03-01T21:44:06.540

3 ARCH(∞) = GARCH(p,q) proof 2016-03-22T15:59:56.897

3 Proving a property of $(n-1)s^2$ 2016-05-23T19:37:03.537

3 Adversarial learning gradient derivation 2016-07-25T23:40:08.887

3 How to treat "impossible values" in sums of choose operators? 2016-10-02T12:40:33.400

3 "Proof?" of Bias/Variance trade-off 2016-10-26T16:15:50.250

3 how to prove that $\hat \sigma^2$ is a consistent for $\sigma^2$? 2016-12-01T04:16:54.743

2 What happens with the beta-binomial distribution, when n approaches infinity? 2011-06-14T10:01:51.670

2 Deriving OLS estimates using method of moments 2012-03-27T02:07:24.190

2 Constant signs of correlation in the active set in least angle regression 2012-11-22T23:15:03.450

2 Correlation of handedness to sexual orientation? 2012-12-07T08:32:41.610

2 Proof of distribution $\chi_n ^2$? 2013-03-27T07:49:16.780

2 Question about proof for luce choice axiom w.r.t. conditional probability 2013-05-13T10:46:30.647

2 Linear regression intercept proofs 2013-05-26T19:37:48.270

2 Distance between the product of marginal distributions and the joint distribution 2013-07-25T22:54:10.883

2 Is it true that $F_U(U(\bar\omega)) = F_X(z)$ implies $z=X(\bar\omega)$? 2013-09-25T23:40:13.990

2 Proof for E[X|X] = X 2013-09-29T00:50:39.243

2 Proof that regression residual error is an unbiased estimate of error variance 2013-11-16T16:25:36.980