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

International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 50 - Number 19
Year of Publication: 2012
Bandla Srinivasa Rao
R. Satya Prasad
K. Ramchand H. Rao

Bandla Srinivasa Rao, Satya R Prasad and Ramchand K H.rao. Article: A Comparative Study of Assessing Software Reliability using SPC: An MMLE Approach. International Journal of Computer Applications 50(19):23-27, July 2012. Full text available. BibTeX

	author = {Bandla Srinivasa Rao and R. Satya Prasad and K. Ramchand H.rao},
	title = {Article: A Comparative Study of Assessing Software Reliability using SPC: An MMLE Approach},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {50},
	number = {19},
	pages = {23-27},
	month = {July},
	note = {Full text available}


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


  • Card D. , (1994), Statistical Process Control for Software, IEEE Software, May, 95-97.
  • Card D. , Berg R. A. , (1989), An Industrial Engineering Approach to Software Development. J. Systems and Software, 10, 159-168.
  • Card D. , Glass R. L. , (1990), Measuring Software Design Quality, Prentice Hall
  • 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.
  • Ebenau R. G. , (1994), Predictive Quality Control with Software Inspections, Crosstalk, June.
  • Florac W. A. , Carleton A. D. , Bernard J. R. , (2000), Statistical Process Control: Analyzing a Space Shuttle Onboard Software Process, IEEE Software, July/August.
  • Florence A. , (2001), CMM Level 4 Quantitative Analysis and Defect Prevention, Crosstalk, Feb. 2001.
  • 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
  • Jalote P. , (1999), CMM in Practice: Processes for Executing Software Projects at Infosys, Addison-Wesley.
  • 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
  • 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
  • Mehrotra, K. G. and Nanda, P. (1974). Unbiased estimation of parameters by order Statistics in the case of censored samples. Biometrika, 61, 601{606.
  • Mutsumi Komuro; Experiences of Applying SPC Techniques to software development processes; 2006 ACM 1-59593-085-x/06/0005.
  • Paulk M. C. , (2001), Applying SPC to the Personal Software Process, Proceedings of the 10th International. Conference on Software Quality, October
  • Persson, T and Rootzen, H. (1977). Simple highly efficient estimators for a Type I censored normal sample. Biometrika, 64, 123{128.
  • 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
  • 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
  • Tiku, M. L. (1967). Estimating the mean and standard deviation from a censored normal sample. Bionetrika, 54, 155{165.
  • Tiku, M. L. (1988). Modified maximum likelihood estimator for the bivariate normal. Commun. Statist. -Theor. Meth. , 17, 893{910.
  • 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.
  • 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.
  • Weller E. , (1995), Applying Statistical Process Control to Software Maintenance. Proc. Applications of Software Measurement
  • Weller E. , (2000), Applying Quantitative Methods to Software Maintenance, ASQ Software Quality Professional, 3 (1).
  • Weller E. , (2000), Practical Applications of Statistical Process Control, IEEE Software, May/June, 48-55