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Showing papers in "Calcutta Statistical Association Bulletin in 1978"



Journal ArticleDOI
TL;DR: In this article, the effect of random variation in supply on the optimum inventory level was examined in the case of non-stochastic supply, where the amount added to stock, when a decision to replenish was made, was a random variable.
Abstract: One stage inventory models have been widely discussed in various literatures on inventory control. Karlin (1958) extended this type of model to the situation where the amount added to stock, when a decision to replenish was made, was a random variable. However, Karlin confined his attention to the case in which the producer might choose among some preassigned production levels, at any one of which a random amount was produced, (the alternative of no proeuction being considered as the oth production level). Kabak and Weinberg (1972) also extended the classical news-boy problem to the case where supply is a continuous random variable. But they did not examine the effect of random variation in supply on the optimum inventory level. In fact, they have determined fixed and proportional penalties, in case of shortage, and unit purchase cost, in case of excess, to ensure no decrease in expected revenue corresponding to the optimum inventory level for the situations where supply is non-stochastic.

5 citations


Journal ArticleDOI
TL;DR: In this paper, a solution of the L2 design with the parameters v=k2,b=2k(k−1),r=k,λ1=0,λ2=2 has been obtained.
Abstract: A solution of L2 design with the parameters v=k2,b=2k(k−1),r=2(k−1),k=k,λ1=0, λ2=2 has been obtained when the symbols within the sets of the irreducible BIB design having the parameters v*=k=b*,r*=k−1=k*,λ*=k−2 can be arranged in cycles so that the PD-values for any ordered pair of symbols over all these cycles do not represent a PD-set 'more frequently' than its cardinality. A solution of the unsolved L2 design with the parameters v=36,b=60,r=10,k=6,λ1=0,λ2=2 as reported by Chang and Liu (1964) has been obtained as a particular case.

4 citations


Journal ArticleDOI
TL;DR: Some distribution-free tests for affine symmetry of a continuous bivariate distribution are proposed and studied in this article, where rank order tests and tests of the Kolmogorov-Smirnov and Cramer-von Mises type (based on the empirical distribution) are considered.
Abstract: Some distribution-free tests for affine symmetry of a continuous bivariate distribution are proposed and studied here. Both rank order tests and tests of the Kolmogorov-Smirnov and Cramer-von Mises type (based on the empirical distribution) are considered and their asymptotic relative efficiency results are studied.

3 citations


Journal ArticleDOI
TL;DR: In this paper, it was shown that the product of pnnmn/(2πn)12 and a polynomial of degree l in n-1 with a remainder term which is of order smaller than n-l can be expressed as p(Yn−ξp⩽a).
Abstract: Let Yn denote a suitably defined p-th (0 < p < 1) quantile computed from nk observations of which an equal number n of observations belong to each of a fui.ite number k of populations. Then, if p is a correspondingly defined p-th population quantile, a is a positive number and l ⩾ 1 is any integer, it is shown that there exist ρn (ρn→ρ as n→∞,0<ρ<1) and mn(0

2 citations



Journal ArticleDOI
TL;DR: For unbalanced classification under the random model, the weighted least square approach with estimated weights is used on a set of minimal sufficient statistics in the translation invariancy as discussed by the authors, which is used in this paper.
Abstract: For unbalanced one-way classification under the random model, the weighted least square approach with estimated weights is used on a set of minimal sufficient statistics in the translation invarian...

2 citations