So if X is a random variable with this distribution, we have:Ī classical example of a Bernoulli experiment is a single toss of a coin. In probability theory and statistics, the Bernoulli distribution (or binomial distribution), named after Swiss scientist Jacob Bernoulli, is a discrete probability distribution, which takes value 1 with success probability and value 0 with failure probability. Poisson distribution Poisson process Proportional hazards models Random permutation statistics Rank (linear algebra) Resampling (statistics) Schur complement Sign test Singular value decomposition Stein's method Stirling's approximation Student's t-distribution Summation by parts Taylor series Uniform distribution (continuous) Uniform distribution (discrete) Weibull distribution Wilcoxon signed-rank test Wishart distributionĥ06 515 519 523 535 541 548 550 551 566 572 577 590 592 603 609 612 618 621Īrticle Sources and Contributors Image Sources, Licenses and Contributors 626 634 vy distribution Mann€Whitney U Matrix calculus Maximum likelihood McNemar's test Multicollinearity Multivariate normal distribution n-sphere Negative binomial distribution Noncentral chi-squared distribution Noncentral F-distribution Noncentral t-distribution Norm (mathematics) Normal distribution Order statistic Ordinary differential equation Partial differential equation Pearson's chi-squared test Perron€Frobenius theoremĢ64 269 271 273 277 280 281 291 295 301 307 311 313 315 317 319 327 331 339 341 344 350 368 379 382 387 397 405 414 419 421 425 432 460 465 475 488 494. Inverse Gaussian distribution Inverse-gamma distribution Iteratively reweighted least squares Kendall tau rank correlation coefficient Kolmogorov€Smirnov test Kronecker's lemma Kullback€Leibler divergence Laplace distribution Laplace's equation Laplace's method Likelihood-ratio test List of integrals of exponential functions List of integrals of Gaussian functions List of integrals of hyperbolic functions List of integrals of logarithmic functions Lists of integrals Local regression Log-normal distribution Logrank test L Bernoulli distribution Beta distribution Beta function Beta-binomial distribution Binomial coefficient Binomial distribution Cauchy distribution Cauchy€Schwarz inequality Characteristic function (probability theory) Chernoff bound Chi-squared distribution Computational complexity of mathematical operations Conjugate prior Continuous mapping theorem Convergence of random variables Convergent series Copula (probability theory) Coupon collector's problem Degrees of freedom (statistics) Determinant Dirichlet distribution Effect size Erlang distribution Expectation€maximization algorithm Exponential distribution F-distribution F-test Fisher information Fisher's exact test Gamma distribution Gamma function Geometric distribution Hypergeometric distribution H€lder's inequality 1 3 31 35 41 59 66 74 81 89 95 102 106 112 114 123 127 134 137 143 161 169 179 182 191 201 204 209 217 221 232 246 250 257
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