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| Titel: |
Series for student's non-central t under exponential sampling with comments due to H. P. Mulholland |
| Auteur: |
Bowman, K. O. Lam, H. K. Shenton, L. R. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 15 (1986) nr. 3 pagina's 697-708 |
| Jaar: |
1986 |
| Inhoud: |
The moments of student's non-central t are only known in exact form for samples of n =2, 3, and 4, under exponential sampling. The exact distribution for n > 5 is unknown. Mulholland produced an exact recursive formula for the density of [image omitted] . and asserted that it consisted of n-1 splines on (l,n). A computer oriented extended series (COETS) is taken out to terms in n-24 and appears to be strongly divergent. Several different approximation processes are used to study error analysis, including Levin's t-algorithm and simulations. Satisfactory assessments are indicated for all sample sizes exceeding about 25. The study involves a statistical problem, uses summation techniques in numerical methods and is for the most part highly computer oriented; considerable number crunching is unavoidable. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 18 van 23 gevonden artikelen
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