Misclassified size-biased modified power series distribution and its applications

Anwar Hassan; Peer Bilal Ahmad

Mathematica Bohemica (2009)

  • Volume: 134, Issue: 1, page 1-17
  • ISSN: 0862-7959

Abstract

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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 α , 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.

How to cite

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Hassan, Anwar, and Ahmad, Peer Bilal. "Misclassified size-biased modified power series distribution and its applications." Mathematica Bohemica 134.1 (2009): 1-17. <http://eudml.org/doc/38068>.

@article{Hassan2009,
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 $\alpha $, 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.},
author = {Hassan, Anwar, Ahmad, Peer Bilal},
journal = {Mathematica Bohemica},
keywords = {misclassification; size-biased modified power series distribution; raw moments; central moments; factorial moments; variance ratio; inverted parabola; generalized Poisson; generalized negative binomial; raw moments; central moments},
language = {eng},
number = {1},
pages = {1-17},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Misclassified size-biased modified power series distribution and its applications},
url = {http://eudml.org/doc/38068},
volume = {134},
year = {2009},
}

TY - JOUR
AU - Hassan, Anwar
AU - Ahmad, Peer Bilal
TI - Misclassified size-biased modified power series distribution and its applications
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 1
SP - 1
EP - 17
AB - 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 $\alpha $, 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.
LA - eng
KW - misclassification; size-biased modified power series distribution; raw moments; central moments; factorial moments; variance ratio; inverted parabola; generalized Poisson; generalized negative binomial; raw moments; central moments
UR - http://eudml.org/doc/38068
ER -

References

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