Journal ArticleDOI
Estimation for renewal processes with unobservable gamma or Erlang interarrival times
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TLDR
In this paper, an estimator based on the number of renewals Nt in a fixed time t is proposed to estimate the parameter k in a renewal process where the interarrival times have gamma(μ, k) distribution.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 1997-06-16. It has received 20 citations till now. The article focuses on the topics: Residual time & Erlang distribution.read more
Citations
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Journal ArticleDOI
Fundamentals of Queueing Theory
TL;DR: The Fundamentals of Queueing Theory, Fourth Edition as discussed by the authors provides a comprehensive overview of simple and more advanced queuing models, with a self-contained presentation of key concepts and formulae.
Book
Information Geometry: Near Randomness and Near Independence
TL;DR: The main motivation for this book lies in the breadth of applications in which a statistical model is used to represent small departures from, for example, a Poisson process.
Journal ArticleDOI
System availability in a gamma alternating renewal process
T. Pham-Gia,N. Turkkan +1 more
TL;DR: This work measures the effectiveness of a repairable system by the proportion of time the system is on, where on-time and off-times are assumed independent and both gamma-distributed.
Journal ArticleDOI
Modelling activities at a neurological rehabilitation unit
TL;DR: A queuing model of a specialist neurological rehabilitation unit is studied, central to this study is the concept that treatment intensity has an effect on patient length of stay.
Journal ArticleDOI
Optimum block replacement policy over a random time horizon
TL;DR: It is shown that BRP over an infinite time horizon is obtained as a particular case of the present work.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book
Theory of point estimation
TL;DR: In this paper, the authors present an approach for estimating the average risk of a risk-optimal risk maximization algorithm for a set of risk-maximization objectives, including maximalaxity and admissibility.
Book
Fundamentals of queueing theory
TL;DR: The Fundamentals of Queueing Theory, Fourth Edition as discussed by the authors provides a comprehensive overview of simple and more advanced queuing models, with a self-contained presentation of key concepts and formulae.
Journal ArticleDOI
Fundamentals of Queueing Theory
TL;DR: The Fundamentals of Queueing Theory, Fourth Edition as discussed by the authors provides a comprehensive overview of simple and more advanced queuing models, with a self-contained presentation of key concepts and formulae.
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