A discrete analogue of the Laplace distribution

DOI10.1016/j.jspi.2004.08.014zbMath1081.60011OpenAlexW2090705120MaRDI QIDQ2581664

Tomasz J. Kozubowski, Seidu Inusah

Publication date: 10 January 2006

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2004.08.014

zbMATH Keywords

Maximum likelihood estimationDouble exponential distributionGeometric infinite divisibilityDiscrete normal distributionMaximum entropy property

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Characterizations of a discrete normal distribution
• A mixed bivariate distribution with exponential and geometric marginals
• Information Theory and Statistical Mechanics
• A Problem of Zolotarev and Analogs of Infinitely Divisible and Stable Distributions in a Scheme for Summing a Random Number of Random Variables
• Note on the generation of most probable frequency distributions
• The Frequency Distribution of the Difference between Two Independent Variates following the same Poisson Distribution
• Discrete normal distribution and its relationship with Jacobi theta functions

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