Statistics seminar
Wednesday 11th Oct, 5-6 pm
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Venue: Ramanujan Hall
Host: Siuli Mokhopadhyay
Speaker: Prof. Manisha Pal
Affiliation: St. Xavier's University, Kolkata
Title: EXACT INFERENCE IN A MULTINOMIAL DISTRIBUTION
Abstract: Sequential sampling plans for unbiased estimation of the Bernoulli parameter 'p' have been studied for almost 70 years. Thereafter, there have been some studies for unbiasedly estimating functions of p. An extension of the idea to parametric function estimation in a trinomial distribution has been considered briefly. In this paper we address the problem of finding unbiased estimators of the parameters p and q in a tetranomial distribution, where the cell probabilities are p2, q2, r2, and 2(pq + pr + qr), satisfying p, q, r > 0, p + q + r = 1. Some illustrative examples have been cited to demonstrate the underlying concepts and the computational procedure.