Misclassified size-biased modified power series distribution and its applications.
| Autor: | Hassan, Anwar |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
statistika
stochastické procesy teorie pravděpodobnosti binomické rozložení statistics stochastic processes probability theory binomial distribution články journal articles misclassification size-biased modified power series distribution raw moments central moments factorial moments variance ratio inverted parabola generalized Poisson generalized negative binomial |
| Druh dokumentu: | Non-fiction |
| Abstrakt: | Abstract: A misclassified size-biased modified power series distribution (MSBMPSD) where some of the observations corresponding to $x = 2$ are misclassified as $x = 1$ with probability $\al$, is defined. We obtain its recurrence relations among ordinary, central and factorial moments and also for some of its particular cases like the size-biased generalized negative binomial (SBGNB) and the size-biased generalized Poisson (SBGP) distributions. We also discuss the effect of the misclassification on the variance for MSBMPSD and illustrate an example for size-biased generalized negative binomial distribution. Finally, an example is presented for the size-biased generalized Poisson distribution to illustrate the results, and a goodness of fit test is also done using the method of moments. |
| Databáze: | Katalog Knihovny AV ČR |
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