Abstract A procedure is derived for determining the values of the parameters of a multinomial distribution by means of the fiducial approach proposed by Fisher. By decomposing the involved probability (mass or density) functions, it is shown that the resulting fiducial distributions belong to...

A multinomial distribution (-1, π1), (0, π2), (1, π3), π1 + π2 + π3 = 1 is observed. Suppose that n1 values -1, n2 values 0 and n3 values 1 (n = n1 + n2 + n3) were observed. The construction of the confidence region for the vector (π1, π2, π3) is given. Theoretical considerations are...

Conditional Bernoulli (in short "CB") models have been recently applied to many statistical fields including survey sampling, logistic regression, case-control studies, lottery, signal processing and Poisson-Binomial distributions. In this paper, we present several general properties of CB...

Process control involves repeated hypothesis testing based on several samples. However, process control is not exactly hypothesis testing as such since it deals with detection of non-random patterns of variation as well in a fleeting kind of population. Compare this with hypothesis testing which...

The Brigham Young University Women's Volleyball Team recorded and rated all skills (pass, set, attack, etc.) and recorded rally outcomes (point for BYU, rally continues, point for opponent) for the entire 2006 home volleyball season. Only sequences of events occurring on BYU's side of the net...

For centuries, Alfred the Great was judged to have translated several Latin texts into Old English. Many scholars, however, have expressed doubt whether Alfred could have done all of this work. With the availability of the Old English Corpus in electronic form, it is feasible to subject the...