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- Binomial_sum_variance_inequality abstract "The binomial sum variance inequality states that the variance of the sum of binomially distributed random variables will always be less than or equal to the variance of a binomial variable with the same n and p parameters. In probability theory and statistics, the sum of independent binomial random variables is itself a binomial random variable if all the component variables share the same success probability. If success probabilities differ, the probability distribution of the sum is not binomial. The lack of uniformity in success probabilities across independent trials leads to a smaller variance. and is a special case of a more general theorem involving the expected value of convex functions. In some statistical applications, the standard binomial variance estimator can be used even if the component probabilities differ, though with a variance estimate that has an upward bias.".
- Binomial_sum_variance_inequality wikiPageID "44198675".
- Binomial_sum_variance_inequality wikiPageLength "6320".
- Binomial_sum_variance_inequality wikiPageOutDegree "23".
- Binomial_sum_variance_inequality wikiPageRevisionID "674603171".
- Binomial_sum_variance_inequality wikiPageWikiLink Bernoulli_distribution.
- Binomial_sum_variance_inequality wikiPageWikiLink Bias_(statistics).
- Binomial_sum_variance_inequality wikiPageWikiLink Binomial_distribution.
- Binomial_sum_variance_inequality wikiPageWikiLink Category:Probability_theorems.
- Binomial_sum_variance_inequality wikiPageWikiLink Category:Statistical_inequalities.
- Binomial_sum_variance_inequality wikiPageWikiLink Category:Statistical_theorems.
- Binomial_sum_variance_inequality wikiPageWikiLink Expected_value.
- Binomial_sum_variance_inequality wikiPageWikiLink False_discovery_rate.
- Binomial_sum_variance_inequality wikiPageWikiLink Multiple_comparisons_problem.
- Binomial_sum_variance_inequality wikiPageWikiLink Probability_theory.
- Binomial_sum_variance_inequality wikiPageWikiLink Random_variable.
- Binomial_sum_variance_inequality wikiPageWikiLink Real_number.
- Binomial_sum_variance_inequality wikiPageWikiLink Statistical_hypothesis_testing.
- Binomial_sum_variance_inequality wikiPageWikiLink Statistics.
- Binomial_sum_variance_inequality wikiPageWikiLink Variance.
- Binomial_sum_variance_inequality wikiPageWikiLinkText "smaller than the variance of a binomial variable".
- Binomial_sum_variance_inequality hasPhotoCollection Binomial_sum_variance_inequality.
- Binomial_sum_variance_inequality wikiPageUsesTemplate Template:Orphan.
- Binomial_sum_variance_inequality wikiPageUsesTemplate Template:Reflist.
- Binomial_sum_variance_inequality subject Category:Probability_theorems.
- Binomial_sum_variance_inequality subject Category:Statistical_inequalities.
- Binomial_sum_variance_inequality subject Category:Statistical_theorems.
- Binomial_sum_variance_inequality comment "The binomial sum variance inequality states that the variance of the sum of binomially distributed random variables will always be less than or equal to the variance of a binomial variable with the same n and p parameters. In probability theory and statistics, the sum of independent binomial random variables is itself a binomial random variable if all the component variables share the same success probability.".
- Binomial_sum_variance_inequality label "Binomial sum variance inequality".
- Binomial_sum_variance_inequality sameAs m.012r4y4v.
- Binomial_sum_variance_inequality wasDerivedFrom Binomial_sum_variance_inequality?oldid=674603171.
- Binomial_sum_variance_inequality isPrimaryTopicOf Binomial_sum_variance_inequality.