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Volumn 18, Issue 4, 2000, Pages 349-366

Inference based on the Empirical Probability Generating function for Mixtures of Poisson Distributions

Author keywords

Consistent estimator; discrete Linnik distribution; discrete stable distribution; distribution theory; Mittag Leffler distribution; mixture of Poisson distributions; order statistic; Paretian distribution; probability generating function; Sibuya distribution; tailweight

Indexed keywords


EID: 17044371447     PISSN: 21931402     EISSN: 21967040     Source Type: Journal    
DOI: 10.1524/strm.2000.18.4.349     Document Type: Article
Times cited : (21)

References (18)
  • 4
    • 38248998993 scopus 로고
    • A triptych of discrete distributions related to the stable law
    • Devroye, L. (1993) A triptych of discrete distributions related to the stable law. Statist. Probab. Lett. 18, 349-351.
    • (1993) Statist. Probab. Lett. , vol.18 , pp. 349-351
    • Devroye, L.1
  • 5
    • 0000408770 scopus 로고    scopus 로고
    • de (1981) Estimation of the minimum of a function using order statistics
    • Haan, L. de (1981) Estimation of the minimum of a function using order statistics. J. Amer. Statist. Assoc. 76, 467-469.
    • J. Amer. Statist. Assoc. , vol.76 , pp. 467-469
    • Haan, L.1
  • 6
    • 0002407801 scopus 로고
    • On some simple estimates of an exponent of regular variation
    • Hall, P. (1982) On some simple estimates of an exponent of regular variation. J. Roy. Statist. Soc. Ser. B 44, 37-42.
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 37-42
    • Hall, P.1
  • 8
    • 85025281299 scopus 로고    scopus 로고
    • Estimation of Linnik law parameters, newblock Statist
    • (in print)
    • Jacques, C., Rémillard, B., and Theodorescu, R. (1999) Estimation of Linnik law parameters, newblock Statist. Decisions (in print).
    • (1999) Decisions
    • Jacques, C.1    Rémillard, B.2    Theodorescu, R.3
  • 9
  • 11
    • 0000649102 scopus 로고
    • Stable densities under change of scale and total variation inequalities
    • Kanter, M. (1975) Stable densities under change of scale and total variation inequalities. Ann. Probab. 3, 697-707.
    • (1975) Ann. Probab. , vol.3 , pp. 697-707
    • Kanter, M.1
  • 13
    • 0002368238 scopus 로고
    • Paretian distributions and income maximization, newblock Quart
    • Mandelbrot, B. (1962) Paretian distributions and income maximization, newblock Quart. J. Econom. 76, 57-85.
    • (1962) J. Econom. , vol.76 , pp. 57-85
    • Mandelbrot, B.1
  • 14
    • 0011103537 scopus 로고
    • Characterization of discrete laws via mixed sums and Markov branching processes
    • Pakes, A. G. (1995) Characterization of discrete laws via mixed sums and Markov branching processes. Stochastic Process. Appl. 55, 285-300.
    • (1995) Stochastic Process. Appl. , vol.55 , pp. 285-300
    • Pakes, A.G.1
  • 15
    • 0001646356 scopus 로고
    • Estimation in univariate and multivariate stable distributions
    • Press, S. J. (1972) Estimation in univariate and multivariate stable distributions. J. Amer. Statist. Assoc. 67, 842-846.
    • (1972) J. Amer. Statist. Assoc. , vol.67 , pp. 842-846
    • Press, S.J.1
  • 16
  • 17
    • 0010078215 scopus 로고
    • Branching stochastic processes for particles diffusing in a. restricted domain with absorbing boundaries
    • Sevastyanov, B. A. (1958) Branching stochastic processes for particles diffusing in a. restricted domain with absorbing boundaries. Theor. Probab. Appl. 3. 121 -136.
    • (1958) Theor. Probab. Appl. 3. , vol.121 , pp. -136
    • Sevastyanov, B.A.1
  • 18
    • 0000234070 scopus 로고    scopus 로고
    • van (1979) Discrete analogues of self-decomposability and stability
    • Steutel, F. W. and Harn, K. van (1979) Discrete analogues of self-decomposability and stability. Ann. Probab. 7, 893- 899.
    • Ann. Probab. , vol.7 , pp. 899
    • Steutel, F.W.1    Harn, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.