Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions
Sultan, K., Aly, H., Alsadat, N. (2006). Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions. EKB Journal Management System, 50(1), 48-59. doi: 10.21608/esju.2006.313453
K. S. Sultan; H. M. Aly; N. H. Alsadat. "Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions". EKB Journal Management System, 50, 1, 2006, 48-59. doi: 10.21608/esju.2006.313453
Sultan, K., Aly, H., Alsadat, N. (2006). 'Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions', EKB Journal Management System, 50(1), pp. 48-59. doi: 10.21608/esju.2006.313453
Sultan, K., Aly, H., Alsadat, N. Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions. EKB Journal Management System, 2006; 50(1): 48-59. doi: 10.21608/esju.2006.313453

Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions

The Egyptian Statistical Journal
Article 5, Volume 50, Issue 1, June 2006, Page 48-59  XML PDF (13.7 MB)
Document Type: Original Article
DOI: 10.21608/esju.2006.313453
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Authors
K. S. Sultan* ; H. M. Aly* ; N. H. Alsadat*
Dep.of Statistics and Operations Research, Faculty of Science, King Saud University, Saudi Arabia
Abstract
In this paper, we use the moment of order statistics for testing mixture of two Weibull distrimutions (MTWD) by using correlation-type goodness-of fit test. Also, we show the performance of the test by calculating the power based on some alternative distributions including; normal, gamma, lognormal, Weibull and the mixture of gamma and lognormal distributions. In addition, we discuss a numerical example. Finally, we apply our results to real lifetime data.
Keywords
Moments of Order Statistics; Correlation Coefficient; Goodness; Of; Fit Test; Power of the Test and Monte Carlo Simulation
Statistics
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