A New Class of Life Distribution based on Laplace Transform and It’s Applications

Based on the approach of Laplace transform, a new class of life distributions called used better than aged in increasing concave denoted by (UBAC(2)L) is introduced. The implication of our proposed class of life distribution with other classes is given. Some properties of UBAC(2)L class of life distribution are studied. By using the goodness of fit methodology, a new test statistic is proposed for testing exponentiality versus UBAC(2)L class of life distribution. Critical values of our test are calculated for complete and censored data. The power of the test and pitman’s asymptotic efficiency (PAE) for some commonly used distributions in reliability are calculated. Finally, a set of real data is used as an example to elucidate the use of the proposed test statistic for practical reliability analysis

A New Class of Life Distribution based on Laplace Transform and It’s Applications

Based on the approach of Laplace transform, a new class of life distributions called used better than aged in increasing concave denoted by (UBAC(2)L) is introduced. The implication of our proposed class of life distribution with other classes is given. Some properties of UBAC(2)L class of life distribution are studied. By using the goodness of fit methodology, a new test statistic is proposed for testing exponentiality versus UBAC(2)L class of life distribution. Critical values of our test are calculated for complete and censored data. The power of the test and pitman’s asymptotic efficiency (PAE) for some commonly used distributions in reliability are calculated. Finally, a set of real data is used as an example to elucidate the use of the proposed test statistic for practical reliability analysis

A New Non-parametric Statistical Test for Testing Exponentiality Based on Kernel Method with Applications on Hypothesis Testing

In this paper, the intention of determining the non-parametric test is to assess the methodology of studying the failure behavior of the observed life data. This methodology represents a new test statistic for testing the exponentiality versus the class of life distribution used better than aged in increasing concave ordering (UBAC(2)) based on the kernel method. Using simulation, the percentiles for complete and right censored data and the power of our test statistic are tabulated. The pitman’s asymptotic efficiency is calculated to assess the performance of our proposed test with respect to other tests. Finally, medical applications for real data are presented for complete and censored data using our proposed test