TheLp-norm estimation of the parameters for the Jelinski–Moranda model in software reliability

DOI10.1080/00207160.2011.642299zbMath1262.68020OpenAlexW2170062423MaRDI QIDQ4903551

Dragan Jukić

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.642299

zbMATH Keywords

least squaresexistence problemsoftware reliabilityJelinski-Moranda model\(L_p\)-norm fitting

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Probabilistic models, generic numerical methods in probability and statistics (65C20) General nonlinear regression (62J02) Reliability, testing and fault tolerance of networks and computer systems (68M15)

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Cites Work

• Total least squares fitting Bass diffusion model
• Existence of optimal solution for exponential model by least squares
• Criteria for unconstrained global optimization
• On nonlinear weighted total least squares parameter estimation problem for the three-parameter Weibull density
• On the existence of the best discrete approximation in \(l_p\) norm by reciprocals of real polynomials
• Criteria for global minimum of sum of squares in nonlinear regression
• Fundamentals of Probability: A First Course
• A Unification of Some Software Reliability Models
• Exponential order statistic models of software reliability growth
• Order Statistics
• Least‐squares problems for Michaelis–Menten kinetics

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