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SOFTWARE RELIABILITY BASED ON RENEWAL PROCESS MODELING FOR ERROR OCCURRENCE DUE TO EACH BUG WITH PERIODIC DEBUGGING SCHEDULE

Published online by Cambridge University Press:  02 June 2020

Sudipta Das Open the ORCID record for Sudipta Das [Opens in a new window] ,
Anup Dewanji  and
Subrata Kundu
Sudipta Das
Affiliation:
Computer Science Department, Ramakrishna Mission Vivekananda Educational and Research Institute, Howrah, India E-mail: jusudipta@gmail.com
Anup Dewanji
Affiliation:
Applied Statistics Unit, Indian Statistical Institute, Kolkata, India
Subrata Kundu
Affiliation:
George Washington University, Washington, DC, USA
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Abstract

The process of software testing usually involves the correction of a detected bug immediately upon detection. In this article, in contrast, we discuss continuous time testing of a software with periodic debugging in which bugs are corrected, instead of at the instants of their detection, at some pre-specified time points. Under the assumption of renewal distribution for the time between successive occurrence of a bug, maximum-likelihood estimation of the initial number of bugs in the software is considered, when the renewal distribution belongs to any general parametric family or is arbitrary. The asymptotic properties of the estimated model parameters are also discussed. Finally, we investigate the finite sample properties of the estimators, specially that of the number of initial number of bugs, through simulation.

Keywords

asymptotic distributionnon-parametric estimationparametric estimationperiodic debuggingrenewal processsoftware testing
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 1 , January 2022 , pp. 87 - 104
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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