Non Parametric Test for Testing Exponentiality Against Exponential Better Than Used in Laplace Transform Order

2019 ◽  
Vol 8 (1) ◽  
pp. 1-9
Author(s):  
Mohamed A. W. Mahmoud ◽  
Mahmoud M. M. Mansour
Keyword(s):  
Laplace Transform ◽  
Parametric Test ◽  
Laplace Transform Order ◽  
Better Than ◽  
Non Parametric

A note on stochastic comparisons of excess lifetimes of renewal processes

2001 ◽  
Vol 38 (03) ◽  
pp. 747-753 ◽  
Author(s):  
Félix Belzunce ◽  
Eva M. Ortega ◽  
José M. Ruiz
Keyword(s):  
Laplace Transform ◽  
Renewal Process ◽  
Renewal Processes ◽  
Stochastic Comparisons ◽  
The Laplace Transform ◽  
Interarrival Times ◽  
Laplace Transform Order ◽  
Series Systems ◽  
New Better Than Used ◽  
Better Than

In this paper we provide new results about stochastic comparisons of the excess lifetime at different times of a renewal process when the interarrival times belong to several ageing classes. We also provide a preservation result for the new better than used in the Laplace transform order ageing class for series systems.

scholarly journals Moments Inequalities for NBRUL Distributions with Hypotheses Testing Applications

2018 ◽  
Vol 47 (1) ◽  
pp. 95-104 ◽  
Author(s):  
Rashad Mohamed El-Sagheer ◽  
Mohamed A. W. Mahmoud ◽  
Walid B. H. Etman
Keyword(s):  
Laplace Transform ◽  
Failure Rate ◽  
Higher Order ◽  
Hypotheses Testing ◽  
Practical Applications ◽  
Gamma Distributions ◽  
The Mean ◽  
Laplace Transform Order ◽  
Test For Exponentiality ◽  
Better Than

In this paper, moment inequalities for the new better than renwal used in Laplace transform order ( NBRUL ) class of ageing distributions are derived. This inequalities demonstrate that if the mean life is finite, then all higher order moments exist. A new test for exponentiality versus NBRUL can be constructed using thes inequalities. Pitman's asymptotic efficiencies and critical values of the proposed test are calculated and tabulated. The powers of this test are estimated for some famously alternatives distributions in reliability such as Linear failure rate,Weibull and gamma distributions. Finally, examples in different areas are used as a practical applications of the proposed test.

A note on stochastic comparisons of excess lifetimes of renewal processes

2001 ◽  
Vol 38 (3) ◽  
pp. 747-753 ◽  
Author(s):  
Félix Belzunce ◽  
Eva M. Ortega ◽  
José M. Ruiz
Keyword(s):  
Laplace Transform ◽  
Renewal Process ◽  
Renewal Processes ◽  
Stochastic Comparisons ◽  
The Laplace Transform ◽  
Interarrival Times ◽  
Laplace Transform Order ◽  
Series Systems ◽  
New Better Than Used ◽  
Better Than

In this paper we provide new results about stochastic comparisons of the excess lifetime at different times of a renewal process when the interarrival times belong to several ageing classes. We also provide a preservation result for the new better than used in the Laplace transform order ageing class for series systems.

Testing Exponentiality Aganist New Better Than Renwal Used in Laplace Transform Order

2016 ◽  
Vol 5 (2) ◽  
pp. 279-285
Author(s):  
M. A. W. Mahmoud ◽  
Rashad M. EL-Sagheer ◽  
Walid B. H. Etman
Keyword(s):  
Laplace Transform ◽  
Laplace Transform Order ◽  
Better Than

scholarly journals Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
M. A. W. Mahmoud ◽  
L. S. Diab ◽  
D. M. Radi
Keyword(s):  
Laplace Transform ◽  
Test Statistic ◽  
Life Distribution ◽  
Right Censored Data ◽  
New Class ◽  
Gamma Distributions ◽  
The Right ◽  
Laplace Transform Order ◽  
New Better Than Used ◽  
Better Than

AbstractIn this paper, a new class of life distribution is proposed, named renewal new better than used in Laplace transform order (RNBUL). The test statistic for testing exponentiality versus (RNBUL) based on U-statistic is proposed. Pitman’s asymptotic efficiencies of the test and Pitman’s asymptotic relative efficiencies (PARE) are calculated. The percentiles of this test statistic are tabulated, and the powers of this test are estimated for some famous alternatives distributions in reliability such as Weibull, linear failure rate (LFR), and Gamma distributions. The problem regarding the right-censored data is also handled. Finally, some applications to elucidate the usefulness of the proposed test in reliability analysis are discussed.

scholarly journals Testing for equality of distributions using the concept of (niche) overlap

2021 ◽  
Author(s):  
Judith H. Parkinson-Schwarz ◽  
Arne C. Bathke
Keyword(s):  
Basic Assumption ◽  
Type I Error ◽  
Test Procedure ◽  
Niche Overlap ◽  
Relative Effect ◽  
Type I ◽  
Underlying Distribution ◽  
Parametric Test ◽  
Higher Power ◽  
Non Parametric

AbstractIn this paper, we propose a new non-parametric test for equality of distributions. The test is based on the recently introduced measure of (niche) overlap and its rank-based estimator. As the estimator makes only one basic assumption on the underlying distribution, namely continuity, the test is universal applicable in contrast to many tests that are restricted to only specific scenarios. By construction, the new test is capable of detecting differences in location and scale. It thus complements the large class of rank-based tests that are constructed based on the non-parametric relative effect. In simulations this new test procedure obtained higher power and lower type I error compared to two common tests in several settings. The new procedure shows overall good performance. Together with its simplicity, this test can be used broadly.

scholarly journals Non-Parametric Test Analysis for the Questionnaire Investigation on the High School Teachers’ Work Load

2018 ◽  
Vol 9 (5) ◽  
pp. 33
Author(s):  
Yasuo Ishii ◽  
Daisuke Takeyasu ◽  
Tatsuya Oyanagi ◽  
Kazuhiro Takeyasu
Keyword(s):  
High School ◽  
High School Teachers ◽  
Social Worker ◽  
Work Load ◽  
School Teachers ◽  
Test Analysis ◽  
Parametric Test ◽  
School Social Worker ◽  
Miyagi Prefecture ◽  
Non Parametric

High School teachers in Japan are sending very busy days on their daily works including teaching, support for the club activities and deskwork. Among them, they share a lot of time for managing the club actives of students compared with other countries. In that area, professionals can make instruction much better than teachers for the special sports like Judo and Kendo (Japanese fencing) etc. School Social Worker can coordinate the professionals out of school and can help teachers by decreasing their burden on that area. There are few related papers concerning the support of club activities by utilizing the professionals outside. In this paper, a questionnaire investigation is executed to the five High Schools at Miyagi Prefecture in Japan in order to clarify their current condition and their consciousness, and to seek the possibility of utilizing school social worker for their support. Fundamental statistical analysis and Non-Parametric Test Analysis are performed. As for Q2”Consciousness for the daily works” and its related analysis, Null Hypotheses were rejected for 6 cases out of 60. As for Q3”Consciousness for guiding the club activities” and its related analysis, Null Hypotheses were rejected for 5 cases out of 48. Various cases should be investigated here after.

scholarly journals Non-parametric test to describe response time and eye movement distributions in visual search

2010 ◽  
Vol 10 (7) ◽  
pp. 1317-1317
Author(s):  
B. Richard ◽  
D. Ellemberg ◽  
A. Johnson
Keyword(s):  
Visual Search ◽  
Response Time ◽  
Eye Movement ◽  
Parametric Test ◽  
Non Parametric
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