<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We propose a new method of constructing statistical models which can be interpreted as the lifetime distributions of series-parallel/parallel- series systems used in characterizing coherent systems. An open problem regarding coherent systems is comparing the expected system lifetimes. Using these models, we discuss and establish conditions for ordering of expected system lifetimes of complex series-parallel/parallel-series systems. Also, we consider parameter estimation and the analysis of two real data sets. We give formulae for the reliability, hazard rate and mean hazard rate functions.</p></abstract>

We propose a new method of constructing statistical models which can be interpreted as the lifetime distributions of series-parallel/parallel- series systems used in characterizing coherent systems. An open problem regarding coherent systems is comparing the expected system lifetimes. Using these models, we discuss and establish conditions for ordering of expected system lifetimes of complex series-parallel/parallel-series systems. Also, we consider parameter estimation and the analysis of two real data sets. We give formulae for the reliability, hazard rate and mean hazard rate functions.

Some classes of statistical distributions. Properties and Applications

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Some classes of statistical distributions. Properties and Applications"}

We propose a new method of constructing statistical models which can be interpreted as the lifetime distributions of series-parallel/parallel- series systems...

Some classes of statistical distributions. Properties and Applications

Published Online: Mar 31, 2018

Page range: 43 - 68

Received: Mar 31, 2016

Accepted: Jun 29, 2017

DOI: https://doi.org/10.2478/auom-2018-0002

Keywords
expected system lifetimes, multiple transmuted distributions, goodness-of- fit, stochastic ordering, complex serie-parallel/parallel-series systems

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Some classes of statistical distributions. Properties and Applications

Published Online: Mar 31, 2018

Page range: 43 - 68

Received: Mar 31, 2016

Accepted: Jun 29, 2017

DOI: https://doi.org/10.2478/auom-2018-0002

Keywordsexpected system lifetimes, multiple transmuted distributions, goodness-of- fit, stochastic ordering, complex serie-parallel/parallel-series systems

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
expected system lifetimes, multiple transmuted distributions, goodness-of- fit, stochastic ordering, complex serie-parallel/parallel-series systems