Some Normal Approximations for Renewal Function of Large Weibull Shape Parameter

DOI10.1081/SAC-120013107zbMath1100.62509MaRDI QIDQ4803395

Lirong Cui, Min Xie

Publication date: 2 April 2003

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (9)

Moments-Based Approximation to the Renewal Function ⋮ Discrete random bounds for general random variables and applications to reliability ⋮ A family of lifetime distributions ⋮ Exponential approximation to Weibull renewal with decreasing failure rate ⋮ Weibull and Gamma Renewal Approximation Using Generalized Exponential Functions ⋮ Estimation of the generalized exponential renewal function ⋮ Some Analytical and Numerical Bounds on the Renewal Function ⋮ Approximation of the Bivariate Renewal Function ⋮ Two approximations of renewal function for any arbitrary lifetime distribution

Cites Work

• The Weibull renewal function for moderate to large arguments
• A simple approximation to the renewal function (reliability theory)
• On the solution of renewal-type integral equations
• On a Simple Numerical Method for Computing Stieltjes Integrals in Reliability Theory
• Solution of the volterra equation of renewal theory with the galerkin technique using cubic splines
• On the Tabulation of the Renewal Function
• Renewal functions as series
• Calculating Normal Probabilities
• SOME NEW APPROXIMATIONS FOR THE RENEWAL FUNCTION
• On Computations of the Mean and Variance of the Number of Renewals: a Unified Approach
• A note on the Weibull Renewal Process
• On the Renewal Function for the Weibull Distribution

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