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Reseach Article

A Comparative Study of Assessing Software Reliability using SPC: An MMLE Approach

by Bandla Srinivasa Rao, R. Satya Prasad, K. Ramchand H.rao
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 50 - Number 19
Year of Publication: 2012
Authors: Bandla Srinivasa Rao, R. Satya Prasad, K. Ramchand H.rao
10.5120/7911-1159

Bandla Srinivasa Rao, R. Satya Prasad, K. Ramchand H.rao . A Comparative Study of Assessing Software Reliability using SPC: An MMLE Approach. International Journal of Computer Applications. 50, 19 ( July 2012), 23-27. DOI=10.5120/7911-1159

@article{ 10.5120/7911-1159,
author = { Bandla Srinivasa Rao, R. Satya Prasad, K. Ramchand H.rao },
title = { A Comparative Study of Assessing Software Reliability using SPC: An MMLE Approach },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 50 },
number = { 19 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 23-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume50/number19/7911-1159/ },
doi = { 10.5120/7911-1159 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:48:44.496797+05:30
%A Bandla Srinivasa Rao
%A R. Satya Prasad
%A K. Ramchand H.rao
%T A Comparative Study of Assessing Software Reliability using SPC: An MMLE Approach
%J International Journal of Computer Applications
%@ 0975-8887
%V 50
%N 19
%P 23-27
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The Modified Maximum Likelihood Estimation (MMLE) of the parameters of Exponential and Half Logistic distributions are considered and compared. An analytical approximation is used instead of linear approximation for a function which appears in Maximum Likelihood equation. These estimates are shown to perform better, in the sense of simplicity of calculation than the one based on linear approximation for the same function. In this paper we identified the MMLE method of estimations and associated results using Half Logistic Distribution and Exponential Distribution are similar. These estimates are used in SPC to find the control limits to predict the software reliability. A comparison of software reliability using Statistical Process Control for a small sample is also presented

References
  1. Card D. , (1994), Statistical Process Control for Software, IEEE Software, May, 95-97.
  2. Card D. , Berg R. A. , (1989), An Industrial Engineering Approach to Software Development. J. Systems and Software, 10, 159-168.
  3. Card D. , Glass R. L. , (1990), Measuring Software Design Quality, Prentice Hall
  4. Cohen, A. C. and Whitten, B. (1980). Modified moment and maximum likelihood estimators for parameters of the three-parameter gamma distri-bution. Commun. Statist. -Simu. Comp. 11, 197{216.
  5. Ebenau R. G. , (1994), Predictive Quality Control with Software Inspections, Crosstalk, June.
  6. Florac W. A. , Carleton A. D. , Bernard J. R. , (2000), Statistical Process Control: Analyzing a Space Shuttle Onboard Software Process, IEEE Software, July/August.
  7. Florence A. , (2001), CMM Level 4 Quantitative Analysis and Defect Prevention, Crosstalk, Feb. 2001.
  8. G. Srinivasa Rao, R. R. L. Kantam and K. Rosaiah, Reliability estimation in log-logistic distribution from censored samples, ProbStat Forum, Volume 02, July 2009, Pages 52-67
  9. Jalote P. , (1999), CMM in Practice: Processes for Executing Software Projects at Infosys, Addison-Wesley.
  10. K. Rosaiah, R. R. L. Kantam, G. Srinivasa Rao and P. Mallikharjuna Rao, ESTIMATION IN TRUNCATED TYPE-I GENERALIZED LOGISTIC DISTRIBUTION, Int. J. Agricult. Stat. Sci. , Vol. 5, No. 2, pp. 317-325, 2009
  11. M. Xie, T. N. Goh, P. Rajan; Some effective control chart procedures for reliability monitoring; Elsevier science Ltd, Reliability Engineering and system safety 77(2002) 143- 150
  12. Mehrotra, K. G. and Nanda, P. (1974). Unbiased estimation of parameters by order Statistics in the case of censored samples. Biometrika, 61, 601{606.
  13. Mutsumi Komuro; Experiences of Applying SPC Techniques to software development processes; 2006 ACM 1-59593-085-x/06/0005.
  14. Paulk M. C. , (2001), Applying SPC to the Personal Software Process, Proceedings of the 10th International. Conference on Software Quality, October
  15. Persson, T and Rootzen, H. (1977). Simple highly efficient estimators for a Type I censored normal sample. Biometrika, 64, 123{128.
  16. R Satya Prasad, Bandla Sreenivasa Rao, Dr. R. R. L Kantham, Monitoring Software Reliability using Statistical Process Control: An MMLE Approach, International Journal of Computer Science & Information Technology (IJCSIT) Vol 3, No 5, Oct 2011
  17. R Satya Prasad, K Ramchand H Rao Rao, Dr. R. R. L Kantham, Software Reliability Measuring using Modified Maximum Likelihood Estimation and SPC, International Journal of Computer Applications (0975 – 8887) Volume 21– No. 7, May 2011
  18. Tiku, M. L. (1967). Estimating the mean and standard deviation from a censored normal sample. Bionetrika, 54, 155{165.
  19. Tiku, M. L. (1988). Modified maximum likelihood estimator for the bivariate normal. Commun. Statist. -Theor. Meth. , 17, 893{910.
  20. Tiku, M. L. and Suresh, R. P. (1992). A new method of estimation for location and scale parameters. J. Statist. Plann. & Inf. 30, 281-292, North- Holland.
  21. Tiku, M. L. , Wong, W. K. , Vaughan, D. C. and Bian, G. (2000). Time series models in non-normal situations: symmetric innovations. Journal of Time Series Analysis, 21, 571{596.
  22. Weller E. , (1995), Applying Statistical Process Control to Software Maintenance. Proc. Applications of Software Measurement
  23. Weller E. , (2000), Applying Quantitative Methods to Software Maintenance, ASQ Software Quality Professional, 3 (1).
  24. Weller E. , (2000), Practical Applications of Statistical Process Control, IEEE Software, May/June, 48-55
Index Terms

Computer Science
Information Sciences

Keywords

Software Reliability Statistical Process Control Modified Maximum Likelihood Exponential Distribution Half Logistic Distribution Control Limits NHPP