Finding the PDF of the hypoexponential random variable using the Kad matrix similar to the general Vandermonde matrix

DOI10.1080/03610926.2014.930910zbMath1337.62029OpenAlexW2269075875MaRDI QIDQ2807787

Therrar Kadri, Khaled Smaili, Seifedine Kadry

Publication date: 25 May 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2014.930910

zbMATH Keywords

Laplace transformprobability density functionErlang distributionhypoexponential distributionblock marticesgeneral Vandermonde matrix

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10)

Related Items (2)

On characterization of the exponential distribution via hypoexponential distributions ⋮ Load-Sharing Reliability Models with Different Component Sensitivities to Other Components’ Working States

Cites Work

• Reliability bounds for multistage structures with independent components
• Inversion of confluent Vandermonde matrices
• Probability and Statistics with Reliability, Queuing and Computer Science Applications
• The inverse of the generalized vandermonde matrix through the partial fraction expansion
• Queueing Networks and Markov Chains

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