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Volumn 138, Issue 12, 2008, Pages 3687-3695

Signed binomial approximation of binomial mixtures via differential calculus for linear operators

Author keywords

Binomial approximation; Binomial mixture; Krawtchouk polynomials; Signed measure; Total variation distance

Indexed keywords


EID: 49649097497     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2007.11.018     Document Type: Article
Times cited : (9)

References (23)
  • 1
    • 0034337848 scopus 로고    scopus 로고
    • Taylor's formula and preservation of generalized convexity for positive linear operators
    • Adell J.A., and Lekuona A. Taylor's formula and preservation of generalized convexity for positive linear operators. J. Appl. Probab. 37 (2000) 765-777
    • (2000) J. Appl. Probab. , vol.37 , pp. 765-777
    • Adell, J.A.1    Lekuona, A.2
  • 2
    • 33746640191 scopus 로고    scopus 로고
    • Sharp estimates in signed Poisson approximation of Poisson mixtures
    • Adell J.A., and Lekuona A. Sharp estimates in signed Poisson approximation of Poisson mixtures. Bernoulli 11 1 (2005) 47-65
    • (2005) Bernoulli , vol.11 , Issue.1 , pp. 47-65
    • Adell, J.A.1    Lekuona, A.2
  • 4
    • 33747172588 scopus 로고    scopus 로고
    • An expansion in the exponent for compound binomial approximation
    • Čekanavičius V., and Roos B. An expansion in the exponent for compound binomial approximation. Lithuanian Math. J. 46 1 (2006) 54-91
    • (2006) Lithuanian Math. J. , vol.46 , Issue.1 , pp. 54-91
    • Čekanavičius, V.1    Roos, B.2
  • 7
    • 0036441048 scopus 로고    scopus 로고
    • Approximating the number of successes in independent trials: Binomial versus Poisson
    • Choi K.P., and Xia A. Approximating the number of successes in independent trials: Binomial versus Poisson. Ann. Appl. Probab. 12 4 (2002) 1139-1148
    • (2002) Ann. Appl. Probab. , vol.12 , Issue.4 , pp. 1139-1148
    • Choi, K.P.1    Xia, A.2
  • 9
    • 0000930506 scopus 로고
    • A semigroup approach to Poisson approximation
    • Deheuvels P., and Pfeifer D. A semigroup approach to Poisson approximation. Ann. Probab. 14 2 (1986) 663-676
    • (1986) Ann. Probab. , vol.14 , Issue.2 , pp. 663-676
    • Deheuvels, P.1    Pfeifer, D.2
  • 10
    • 0003014023 scopus 로고
    • Binomial approximation to the Poisson binomial distribution
    • Ehm W. Binomial approximation to the Poisson binomial distribution. Statist. Probab. Lett. 11 (1991) 7-16
    • (1991) Statist. Probab. Lett. , vol.11 , pp. 7-16
    • Ehm, W.1
  • 12
    • 0036556526 scopus 로고    scopus 로고
    • Spatial mixture models based on exponential family conditional distributions
    • Kaiser M.S., Cressie N., and Lee J. Spatial mixture models based on exponential family conditional distributions. Statist. Sinica 12 (2002) 449-474
    • (2002) Statist. Sinica , vol.12 , pp. 449-474
    • Kaiser, M.S.1    Cressie, N.2    Lee, J.3
  • 14
    • 38249018273 scopus 로고
    • Bivariate distributions generated from Pólya-Eggenberger urn models
    • Marshall A.W., and Olkin I. Bivariate distributions generated from Pólya-Eggenberger urn models. J. Multivariate Anal. 35 (1990) 48-65
    • (1990) J. Multivariate Anal. , vol.35 , pp. 48-65
    • Marshall, A.W.1    Olkin, I.2
  • 15
    • 0344628496 scopus 로고    scopus 로고
    • Stochastic comparisons of Poisson and binomial random variables with their mixtures
    • Misra N., Singh H., and Harner E.J. Stochastic comparisons of Poisson and binomial random variables with their mixtures. Statist. Probab. Lett. 65 (2003) 279-290
    • (2003) Statist. Probab. Lett. , vol.65 , pp. 279-290
    • Misra, N.1    Singh, H.2    Harner, E.J.3
  • 16
    • 0035648910 scopus 로고    scopus 로고
    • Binomial approximation to the Poisson binomial distribution. The Krawtchouk expansion
    • Roos B. Binomial approximation to the Poisson binomial distribution. The Krawtchouk expansion. Theory Probab. Appl. 45 (2000) 258-272
    • (2000) Theory Probab. Appl. , vol.45 , pp. 258-272
    • Roos, B.1
  • 17
    • 0037408743 scopus 로고    scopus 로고
    • Improvements in the Poisson approximation of mixed Poisson distributions
    • Roos B. Improvements in the Poisson approximation of mixed Poisson distributions. J. Statist. Plann. Inference 113 (2003) 467-483
    • (2003) J. Statist. Plann. Inference , vol.113 , pp. 467-483
    • Roos, B.1
  • 18
    • 0036532191 scopus 로고    scopus 로고
    • Generalized Pólya-Eggenberger model of order k via lattice path approach
    • Sen K., Agarwal M.L., and Chakraborty S. Generalized Pólya-Eggenberger model of order k via lattice path approach. J. Statist. Plann. Inference 102 (2002) 467-476
    • (2002) J. Statist. Plann. Inference , vol.102 , pp. 467-476
    • Sen, K.1    Agarwal, M.L.2    Chakraborty, S.3
  • 19
    • 0000391556 scopus 로고
    • On mixtures from exponential families
    • Shaked M. On mixtures from exponential families. J. Roy. Statist. Soc. Ser. B 42 (1980) 192-198
    • (1980) J. Roy. Statist. Soc. Ser. B , vol.42 , pp. 192-198
    • Shaked, M.1
  • 20
    • 21444438740 scopus 로고    scopus 로고
    • Binomial approximation for dependent indicators
    • Soon S.Y.T. Binomial approximation for dependent indicators. Statist. Sinica 6 (1996) 703-714
    • (1996) Statist. Sinica , vol.6 , pp. 703-714
    • Soon, S.Y.T.1
  • 21
    • 51249178121 scopus 로고
    • On sum of 0-1 random variables I. Univariate case
    • Takeuchi K., and Takemura A. On sum of 0-1 random variables I. Univariate case. Ann. Inst. Statist. Math. 39 Part A (1987) 85-102
    • (1987) Ann. Inst. Statist. Math. , vol.39 , Issue.PART A , pp. 85-102
    • Takeuchi, K.1    Takemura, A.2
  • 22
    • 49649097931 scopus 로고    scopus 로고
    • On the Pólya-Eggenberger distribution and its applicability in insurance mathematics
    • Teugels J.L. On the Pólya-Eggenberger distribution and its applicability in insurance mathematics. Ann. Univ. Mariae Curie-Sklodowska Sect. A 51 1 (1997) 159-172
    • (1997) Ann. Univ. Mariae Curie-Sklodowska Sect. A , vol.51 , Issue.1 , pp. 159-172
    • Teugels, J.L.1
  • 23
    • 27244453145 scopus 로고    scopus 로고
    • Estimation of proportion using several independent samples of binomial mixtures
    • Wood G.R., Lai C.D., and Qiao C.G. Estimation of proportion using several independent samples of binomial mixtures. Austral. New Zealand J. Statist. 47 4 (2005) 441-448
    • (2005) Austral. New Zealand J. Statist. , vol.47 , Issue.4 , pp. 441-448
    • Wood, G.R.1    Lai, C.D.2    Qiao, C.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.