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논문 기본 정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.13 No.1
- 발행연도
- 2009.3
- 수록면
- 55 - 72 (18page)
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초록· 키워드
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A misclassified size-biased modified power series distribution (MSBMPSD) where some of the observations corresponding to x = c + 1 are misclassified as x = c with probability α, is defined. We obtain its recurrence relations among the raw moments, the central moments and the factorial moments. Discussion of the effect of the misclassification on the variance is considered. To illustrate the situation under consideration some of its particular cases like the size-biased generalized negative binomial (SBGNB), the size-biased generalized Poisson (SBGP) and sizebiased Borel distributions are included. Finally, an example is presented for the size-biased generalized Poisson distribution to illustrate the results.
목차
ABSTRACT
1. INTRODUCTION
2. MISCLASSIFIED SIZE-BIASED MODIFIED POWER SERIES DISTRIBUTION
3. VARIANCE COMPARISON
4. SOME APPLICATIONS
5. SOME NUMERICAL RESULTS
6. AN ILLUSTRATIVE EXAMPLE (GOODNESS OF FIT)
ACKNOWLEDGMENTS
REFERENCES
참고문헌 (20)
참고문헌 신청
1. [학술지(정기간행물)] - Cohen, A.C / 1960 / Estimating the parameters of a modified Poisson distribution / Amer. Statist. Assoc. 55 : 139 ~ 143
2. [학술지(정기간행물)] - Cohen, A.C / 1960 / Estimation in the Poisson distribution when sample value of c+1 is sometimes erroneously reported as c / Ann.Inst.Stat.Math. 9 : 189 ~ 193
3. [학술지(정기간행물)] - Cohen, A.C / 1960 / Misclassified data from binomial distribution / Technometrics 2 : 109 ~ 113
4. [학술지(정기간행물)] - Jani, P.N / 1979 / Misclassification in modified power series distribution in which the value one is sometimes reported as zero and some of its applications / Metron 37 : 121 ~ 136
5. [학술지(정기간행물)] - Patel, A.I / 1996 / Recurrence relations for moments of the so called misclassified distribution / Assam Statistical Review 10 : 107 ~ 119
2. [학술지(정기간행물)] - Cohen, A.C / 1960 / Estimation in the Poisson distribution when sample value of c+1 is sometimes erroneously reported as c / Ann.Inst.Stat.Math. 9 : 189 ~ 193
3. [학술지(정기간행물)] - Cohen, A.C / 1960 / Misclassified data from binomial distribution / Technometrics 2 : 109 ~ 113
4. [학술지(정기간행물)] - Jani, P.N / 1979 / Misclassification in modified power series distribution in which the value one is sometimes reported as zero and some of its applications / Metron 37 : 121 ~ 136
5. [학술지(정기간행물)] - Patel, A.I / 1996 / Recurrence relations for moments of the so called misclassified distribution / Assam Statistical Review 10 : 107 ~ 119
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