| Title:
|
Misclassified size-biased modified power series distribution and its applications (English) |
| Author:
|
Hassan, Anwar |
| Author:
|
Ahmad, Peer Bilal |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
134 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
1-17 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
misclassification |
| Keyword:
|
size-biased modified power series distribution |
| Keyword:
|
raw moments |
| Keyword:
|
central moments |
| Keyword:
|
factorial moments |
| Keyword:
|
variance ratio |
| Keyword:
|
inverted parabola |
| Keyword:
|
generalized Poisson |
| Keyword:
|
generalized negative binomial |
| MSC:
|
60E05 |
| MSC:
|
62E10 |
| MSC:
|
62E15 |
| idZBL:
|
Zbl 1206.62010 |
| idMR:
|
MR2504683 |
| DOI:
|
10.21136/MB.2009.140633 |
| . |
| Date available:
|
2010-07-20T17:44:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140633 |
| . |
| Reference:
|
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