On generalized littlewood-verrall model for software reliability with applications

  • strict warning: Non-static method view::load() should not be called statically in /home4/vibu/public_html/journalijdr.com/sites/all/modules/views/views.module on line 906.
  • strict warning: Declaration of views_handler_argument::init() should be compatible with views_handler::init(&$view, $options) in /home4/vibu/public_html/journalijdr.com/sites/all/modules/views/handlers/views_handler_argument.inc on line 744.
  • strict warning: Declaration of views_handler_filter::options_validate() should be compatible with views_handler::options_validate($form, &$form_state) in /home4/vibu/public_html/journalijdr.com/sites/all/modules/views/handlers/views_handler_filter.inc on line 607.
  • strict warning: Declaration of views_handler_filter::options_submit() should be compatible with views_handler::options_submit($form, &$form_state) in /home4/vibu/public_html/journalijdr.com/sites/all/modules/views/handlers/views_handler_filter.inc on line 607.
  • strict warning: Declaration of views_handler_filter_boolean_operator::value_validate() should be compatible with views_handler_filter::value_validate($form, &$form_state) in /home4/vibu/public_html/journalijdr.com/sites/all/modules/views/handlers/views_handler_filter_boolean_operator.inc on line 159.
  • strict warning: Non-static method view::load() should not be called statically in /home4/vibu/public_html/journalijdr.com/sites/all/modules/views/views.module on line 906.
  • strict warning: Non-static method view::load() should not be called statically in /home4/vibu/public_html/journalijdr.com/sites/all/modules/views/views.module on line 906.
Author: 
Lutfiah Ismail Al Turk and Eftekhar Gabel Alsolami
Abstract: 

In (1973) Littlewood and Verrall proposed a model which perhaps the best-known Bayesian software reliability model. For this model, the distribution of failure times was assumed to be exponential, with the failure rate distributed as a gamma distribution in the prior.In this paper, under the assumption of Weibull failure time distribution and φ is a random variable which has gamma distribution we will illustrate that the times till failure of the N faults are independent random variables having a common three parameter Burr type XII distribution.This general and flexible formula can produce Pareto distribution of second kind and a special case of Burr type XII distribution as special cases. Also, in this paper, several reliability measures of this general formula will be obtained. The mathematical equations that will help to obtain the parameters estimates for maximum likelihood, nonlinear least squares, weighted nonlinear least squares estimation methods will be found. In the final sections, simulated and real world data applications are conducted to validate our general suggested formula.

Download PDF: 

CHIEF EDITOR

  

           Prof. Dr. Bilal BİLGİN

Call for Papers - 2017

    submit your paper now

   Vol. 07, Issue 03, March 2017

CURRENT ISSUE

 

Article Tracking

IMPACT FACTOR 2016

          4.753

Get your Certificate

Copyright © 2016 International Journal Development Research. All Rights Reserved.