On characterization of the exponential distribution via hypoexponential distributions

Autor:	George Yanev
Rok vydání:	2022
Předmět:	Statistics and Probability Probability (math.PR) FOS: Mathematics 62G30 62E10 Mathematics - Statistics Theory Statistics Theory (math.ST) Mathematics - Probability
DOI:	10.48550/arxiv.2204.00867
Popis:	The sum of independent, but not necessary identically distributed, exponential random variables follows hypoexponential distribution. We focus on a particular case when all, but one rate parameters of the exponential variables are identical. this is known as exponentially modified Erlang distribution in molecular biology. We prove a characterization of the exponential distribution, which complements previous characterizations via hypoexponential distribution with all rates different from each other. Comment: To appear in Journal of Statistical Theory and Practice, SharedIt link: https://rdcu.be/c8aX5
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b12a21be856963a40a49ee342b538a90 Zobrazit plný text záznamu