Maximum likelihood estimation for the Erlang integer parameter

DOI10.1016/S0167-7152(98)00186-2zbMath0947.62019MaRDI QIDQ1962228

Gregory K. Miller

Publication date: 30 January 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

reliabilityarithmetic meangeometric meangamma distributionErlang distribution

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Reliability and life testing (62N05) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

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Cites Work

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• Estimation for renewal processes with unobservable gamma or Erlang interarrival times
• Integer-parameter estimation in discrete distributions
• The maximum likelihood estimators of the parameters of the gamma distribution are always positively biased
• A Comparison of n Estimators for the Binomial Distribution
• Estimating the Binomial Parameter n
• Some Estimators of the Integer-Valued Parameter of a Poisson Variate
• The Ratio of the Geometric Mean to the Arithmetic Mean for a Random Sample from a Gamma Distribution

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