APPLICATION OF A NEW CLASS CUMULATIVE LIFETIME DISTRIBUTION TO SOFTWARE RELIABILITY ANALYSIS

In this paper we consider the application of a a new class of cumulative distribution function proposed by Ramos, Dey, Louzada and Lachos in [9] to the debugging theory. We study the Hausdorff approximation of the shifted Heaviside step function by this family. Numerical examples, illustrating our results are presented using programming environment Mathematica. We give also real examples with data provided in [30] using the new software reliability model. Dataset included [31] Year 2000 compatibility modifications, operating system upgrade, and signaling message processing. AMS Subject Classification: 68N30, 41A46

[1]  Anna Malinova,et al.  SOME NOTES ON THE EXTENDED BURR XII SOFTWARE RELIABILITY MODEL , 2018 .

[2]  Zhenmin Chen.  A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function , 2000 .

[3]  Nikolay Pavlov,et al.  Analysis of the Chen’s and Pham’s Software Reliability Models , 2018 .

[4]  Nikolay Pavlov,et al.  ON THE EXTENDED CHEN'S AND PHAM'S SOFTWARE RELIABILITY MODELS. SOME APPLICATIONS , 2018 .

[5]  Devendra Kumar,et al.  Exponentiated Chen distribution: Properties and estimation , 2017, Commun. Stat. Simul. Comput..

[6]  N. Kyurkchiev,et al.  ON SOME NONSTANDARD SOFTWARE RELIABILITY MODELS , 2018, Dynamic Systems and Applications.

[7]  Nikolay Pavlov,et al.  Some Software Reliability Models , 2018 .

[8]  Nikolay Pavlov,et al.  INVESTIGATIONS OF THE K--STAGE ERLANGIAN SOFTWARE RELIABILITY GROWTH MODEL , 2018 .

[9]  Yogendra P. Chaubey,et al.  An Extension of Chen’s Family of Survival Distributions with Bathtub Shape or Increasing Hazard Rate Function , 2015 .

[10]  Thong Ngee Goh,et al.  A modified Weibull extension with bathtub-shaped failure rate function , 2002, Reliab. Eng. Syst. Saf..

[11]  Francisco Louzada,et al.  Exponential-Poisson distribution: estimation and applications to rainfall and aircraft data with zero occurrence , 2018, Commun. Stat. Simul. Comput..

[12]  Nikolay Pavlov,et al.  Nontrivial Models in Debugging Theory , 2018 .

[13]  Nikolay Pavlov,et al.  SOME DETERMINISTIC RELIABILITY GROWTH CURVES FOR SOFTWARE ERROR DETECTION: APPROXIMATION AND MODELING ASPECTS , 2018 .

[14]  Dipak K. Dey,et al.  An extended poisson family of life distribution: a unified approach in competitive and complementary risks , 2018 .

[15]  M. J. S. Khan,et al.  Generalized Order Statistics from Chen Distribution and its Characterization , 2016 .

[16]  Nikolay Pavlov,et al.  SOME DETERMINISTIC GROWTH CURVES WITH APPLICATIONS TO SOFTWARE RELIABILITY ANALYSIS , 2018 .

[17]  Nikolay Pavlov,et al.  A NOTE ON THE ``MEAN VALUE'' SOFTWARE RELIABILITY MODEL , 2018 .

[18]  N. Kyurkchiev,et al.  Some Transmuted Software Reliability Models , 2019, Journal of Mathematical Sciences and Modelling.

[19]  Nikolay Pavlov,et al.  A NOTE ON THE YAMADA--EXPONENTIAL SOFTWARE RELIABILITY MODEL , 2018 .

[20]  F. Louzada,et al.  Poisson–exponential distribution: different methods of estimation , 2018 .

[21]  N. Kyurkchiev,et al.  A NOTE ON THE LOG–LOGISTIC AND TRANSMUTED LOG–LOGISTIC MODELS. SOME APPLICATIONS , 2018, Dynamic Systems and Applications.

[22]  Hoang Pham,et al.  A Software Reliability Model with a Weibull Fault Detection Rate Function Subject to Operating Environments , 2017 .

[23]  Xuemei Zhang,et al.  Some successful approaches to software reliability modeling in industry , 2005, J. Syst. Softw..