Hypergeometric Distribution Probability Theory (10 results)

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory and statistics, the raised cosine distribution is a probability distribution supported on the interval [ s, + s]. The moments of the raised cosine distribution are somewhat complicated, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with = 0 and s = 1. Because the standard raised cosine distribution is an even function, the odd moments are zero.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the raised cosine distribution is a probability distribution supported on the interval [ s, + s]. The probability density function is f(x;mu,s)=frac{1}{2s} left[1+cosleft(frac{x!-!mu}{s},piright)right], for mu-s le x le mu+s and zero otherwise. The cumulative distribution function is F(x;mu,s)=frac{1}{2}left[1!+!frac{x!-!mu}{s} !+!frac{1}{pi}sinleft(frac{x!-!mu}{s},piright)right]for mu-s le x le mu+s and zero for x + s.The moments of the raised cosine distribution are somewhat complicated, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with = 0 and s = 1. Because the standard raised cosine distribution is an even function, the odd moments are zero. The even moments are given by: E(x^{2n})=frac{1}{2}int_{-1}^1 [1+cos(xpi)]x^{2n},dx = frac{1}{n!+!1}+frac{1}{1!+!2n},_1F_2 left(n!+!frac{1}{2};frac{1}{2},n!+!frac{3}{2};frac{-pi^2}{4}right)where ,_1F_2 is a generalized hypergeometric function.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In probability theory and statistics, Wallenius' noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where items are sampled with bias. The matter is complicated by the fact that there is more than one noncentral hypergeometric distribution. Wallenius' noncentral hypergeometric distribution is obtained if balls are sampled one by one in such a way that there is competition between the balls. Fisher's noncentral hypergeometric distribution is obtained if the balls are sampled simultaneously or independently of each other. Unfortunately, both distributions are known in the literature as 'the' noncentral hypergeometric distribution. It is important to be specific about which distribution is meant when using this name.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In probability theory and statistics, Wallenius' noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where items are sampled with bias. This distribution can be illustrated as an urn model with bias. Assume, for example, that an urn contains m1 red balls and m2 white balls, totalling N = m1 + m2 balls. Each red ball has the weight 1 and each white ball has the weight 2. We will say that the odds ratio is = 1 / 2. Now we are taking n balls, one by one, in such a way that the probability of taking a particular ball at a particular draw is equal to its proportion of the total weight of all balls that lie in the urn at that moment. The number of red balls x1 that we get in this experiment is a random variable with Wallenius' noncentral hypergeometric distribution.…

Taschenbuch. Condition: Neu. Raised Cosine Distribution | Probability Theory, Statistics, Probability Distribution, Generalized Hypergeometric Function | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786132925947 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. …

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Inprobability theoryand statistics, Fisher's noncentral hypergeometric distributionis a generalization of the hypergeometric distributionwhere sampling probabilities are modified by weight factors. Fisher's noncentral hypergeometric distribution can also be defined as theconditional distributionof two or morebinomially distributedvariables dependent upon their fixed sum. The distribution may be illustrated by the followingurn model. Assume, for example, that an urn containsm1red balls andm2white balls, totallingN=m1+m2balls. Each red ball has the weight ¿1and each white ball has the weight ¿2. We will say that the odds ratio is ¿ = ¿1/ ¿2. Now we are taking balls randomly in such a way that the probability of taking a particular ball is proportional to its weight, but independent of what happens to the other balls.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In probabilitytheory and statistics, the hypergeometric distribution is a discreteprobability distribution that describes the number of successes in asequence of n draws from a finite population without replacement, justas the binomial distribution describes the number of successes for drawswith replacement.…

Taschenbuch. Condition: Neu. Wallenius' Noncentral Hypergeometric Distribution | Probability Theory, Statistics, Hypergeometric Distribution, Sampling Bias, Urn Problem, Fisher's Noncentral Hypergeometric Distribution, Competition | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130322397 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Condition: Neu. Wallenius Noncentral Hypergeometric Distribution | Wallenius Noncentral Hypergeometric Distribution, Hypergeometric Distribution, Probability Theory, Statistics, Urn Problem, Thought Experiment, Hypothesis, Sampling Bias | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130334215 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Condition: Neu. Raised Cosine Distribution | Probability Theory, Statistics, Probability Distribution, Generalized Hypergeometric Function | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131364365 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. …