Tolerance Limits which Control Percentages in Both Tails: Sampling from Mixtures of Normal Distributions

✍ Scribed by Subrahmaniam Kocherlakota; Prof. N. Balakrishnan

• Publisher: John Wiley and Sons
• Year: 1986
• Tongue: English
• Weight: 313 KB
• Volume: 28
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710280212

✦ Synopsis

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A study is made of the effecte of nonnormality on the tolerance limite which control percentages in both tails. The type of nonnomality coneidered here ie the m i s t u b of normal populations. The conclueions we have arrived a t are that the effect of sampling from woh a population ir eesentielly to raise the value of y. For the preeoribed level of y to be achieved,in the equal percentage oase, tho value of k is smaller than that of the normal cam. However, the loas incurred as a m u l t of ueing Owen'e normal valuee of k ia more than offset by the coet of determining k ap$ropriate tu this situation. Also, the deviation in the values of y from the preecribd levele issxtremely emall.