Goodness-of-Fit Test-Statistics on Gaussian and Exponential Reliability Data

1983 ◽  
Vol R-32 (5) ◽  
pp. 492-495 ◽  
Author(s):  
Duan Wei ◽  
C.Y. Chen
Keyword(s):  
Goodness Of Fit ◽  
Test Statistics ◽  
Goodness Of Fit Test ◽  
Reliability Data

A test for fuzzy exponentiality based on Kullback-Leibler information

2021 ◽  
pp. 1-8
Author(s):  
Lingtao Kong
Keyword(s):  
Biological Sciences ◽  
Monte Carlo ◽  
Goodness Of Fit ◽  
Experimental Studies ◽  
Real Data ◽  
Test Statistics ◽  
Test Statistic ◽  
Goodness Of Fit Test ◽  
Higher Power ◽  
Leibler Information

The exponential distribution has been widely used in engineering, social and biological sciences. In this paper, we propose a new goodness-of-fit test for fuzzy exponentiality using α-pessimistic value. The test statistics is established based on Kullback-Leibler information. By using Monte Carlo method, we obtain the empirical critical points of the test statistic at four different significant levels. To evaluate the performance of the proposed test, we compare it with four commonly used tests through some simulations. Experimental studies show that the proposed test has higher power than other tests in most cases. In particular, for the uniform and linear failure rate alternatives, our method has the best performance. A real data example is investigated to show the application of our test.

Genetics of allozyme variation in Cuphea lanceolata Ait.

Genome ◽  
1989 ◽  
Vol 32 (1) ◽  
pp. 57-63 ◽  
Author(s):  
S. J. Knapp ◽  
L. A. Tagliani
Keyword(s):  
Goodness Of Fit ◽  
Capric Acid ◽  
Allozyme Variation ◽  
Test Statistics ◽  
Shikimate Dehydrogenase ◽  
Average Heterozygosity ◽  
Goodness Of Fit Test ◽  
Polymorphic Loci ◽  
Segregation Ratios ◽  
Cuphea Lanceolata

Genetic markers are needed for mating systems and breeding experiments in Cuphea lanceolata Ait.; however, none have been described in this species. Allozyme variation was analyzed among 14 F2 populations assayed for aconitase (ACO), diaphorase (DIA), esterase (EST), fluorescent esterase transaminase (FEST), glutamine oxaloacetate transaminase (GOT), menadione reductase (MNR), phosphoglucomutase (PGM), phosphoglucose isomerase (PGI), and shikimate dehydrogenase (SKDH) enzyme activity. At least 23 loci were resolved in these enzyme systems: 6 monomorphic loci, 5 poorly resolved loci, and 12 clearly resolved polymorphic loci. Observed segregation ratios were generally not significantly different (P > 0.05) from expected segregation ratios; however, segregation distortion was observed at Skdh-1 and Mnr-1 (Dia-1) in some F2 populations. Skdh-1 and Pgm-2 and Est-1, Est-2, Fest-1, and Mnr-1 comprise putative linkage groups. Allozyme variation was observed between and within accessions. The expected average heterozygosity was 16.3%. There were one to eight polymorphic loci among the F2 populations analyzed. There were an average of 2.05 alleles per locus. Several useful codominant markers were identified and a partial allozyme linkage map was constructed. Additional work is needed to revise and complete the map.Key words: Cuphea, isozymes, goodness of fit test statistics, lauric acid, capric acid.

Sign in / Sign up

Export Citation Format

Share Document