Showing papers in "Calcutta Statistical Association Bulletin in 1981"
23 citations
TL;DR: In this article, the authors extended the estimate of the probability density function, based on a fixed number of observations, studied by Yamato (1971) and Davies (1973), to the case of random observations.
Abstract: The estimate of the probability density function, based on a fixed number of observations, studied by Yamato (1971) and Davies (1973), has been extended to the case when the number of observations is random. Asymptotic properties of the estimates of She d:osity function and its derivatives, as also of the estimate of the mode, have been studied under appropriate conditions.
9 citations
TL;DR: In this article, results relating to the optimality properties of Balanced Block Designs and Linked Block Designs in the one-way elimination of heterogeneity set-up and Generalized Youden Designs in two-way eliminating of heterogeneity under mixed effects models are presented.
Abstract: In this paper, results relating to the optimality properties of (i) the Balanced Block Designs and the Linked Block Designs in the one-way elimination of heterogeneity set-up (ii) the Generalized Youden Designs in the two-way elimination of heterogeneity set-up, both under mixed effects models, are presented.
9 citations
TL;DR: In this article, the problem of estimating proportions corresponding to several confidential characters, which are possibly related and some of which possibly involve more than two categories, from a single sample by applying the randomised response technique was considered.
Abstract: This work considers the problem of estimating proportions corresponding to several confidential characters, which are possibly related and some of which possibly involve more than two categories, from a single sample by applying the randomised response technique. Large sample tests for the independence of the confidential characters have been suggested. Tho effect of wilful mis-statement, if any, has also been studied.
8 citations
TL;DR: Some methods of constructing balanced arrays are given along with their applications to construct useful series of asymmetrical factorial designs as discussed by the authors, and their applications are discussed in detail in Section 2.
Abstract: Some methods of constructing balanced arrays are given along with their applications to construct useful series of asymmetrical factorial designs.
5 citations
TL;DR: In this article, the closeness of locally most powerful (LMP) conditional test statistics is examined with reference to the invariancc principles for these statistics, and the results include, as special cases, parallel results on various LMP rank test statistics.
Abstract: For a set of random variables, not necessarily independent, along with a characterization of locally most powerful (LMP) conditional tests, some weak as well as strong invariancc principles for tbe allied test statistics arc considered. In the light of asymptotic sufficiency of sub-sigma fields (generating tbe conditional tests). the closeness of LMP and LMP conditional test statistics is examined with reference to the invariancc principles for these statistics. these results include, as special cases, parallel results on various LMP rank test statistica. scattered in the literature.
3 citations
TL;DR: The interpenetrating sub-sampling procedure with unequal sizes of the samples has been compared with an equicost procedure based on equal sized samples and it has been observed that unequal sized samples lead to more precise estimates of a finite population mean in almost all the cases dealt with in this paper.
Abstract: The interpenetrating sub-sampling procedure with unequal sizes of the samples has been compared with an equicost procedure based on equal sized samples and it has been observed that unequal sized samples lead to more precise estimates of a finite population mean in almost all the cases dealt with in this paper. Simple random sampling has b:en considered throughout and it has been assumed that the cost of the survey is proportional to the number of distinct units in the sample.
2 citations
TL;DR: In this paper, a method for constructing second-order rotatable desians in k dimensions from second order rotatable designs in k -l dimensions (1 ⊽ l ⩽ k -1) is proposed.
Abstract: A method for constructing second-order rotatable desians in k dimensions from second-order rotatable designs in k -l dimensions (1 ⩽ l ⩽ k -1) is proposed. The method makes use of balanced incomplete block designs. The method always works and, further, the experiments performed according to the (k - l)-dimensional design need not be discarded.
2 citations
TL;DR: In this paper, a condition for obtaining a group-divisible (GD) design from an asymmetric Bm design is established, and a method is also given for constructing a variance balanced design from a GD design.
Abstract: A condition is established for obtaining a Group Divisible (GD) design from an asymmetric Bm design. A method is also given for constructing a variance balanced design from a GD design.
1 citations
TL;DR: In this article, a method of construction of a family of resolvable BIB designs with parameters v = p2q, k = pq, λ = (pq -1) Ω(q −1)
Abstract: In this paper we give a method of construction of a family of resolvable BIB designs with parameters v = p2q, k = pq, λ = ( pq -1)⁄(q -1), where p is a prime or prime power and q is an integer such that p ⩾ q ⩾ 2 and (pq- 1 )⁄(q -1) is an integer.
1 citations
TL;DR: In this article, the Lindley-Smith (1972) linear estimates of the multinonnal mean vector are shown to be generalized Bayes with respect to symmetric bowl shaped loss both when the common variance is known and unknown.
Abstract: In Ghosh and Parsian (1981), the Lindley-Smith (1972) linear estimates of the multinonnal mean vector are shown to be generalized Bayes with respect to symmetric bowl shaped loss both when the common variance is known and unknown . The admissibility of such estimators is also proved in both these oases. The present paper gencralizes the findings of Ghosh and Parsian (1981) to a multiple regression model.
TL;DR: In this paper, the authors restrict themselves to PBIBD's with two clus association schemea under a mixed model and show that when a BIB dosian does not exist with tho alven parameters, if it exists, a GO design with λ2=λ1+1, if they exist, is A-optimal within the class of all PBIB designs with two associate class association schemes.
Abstract: For the problem of estimation of all elementary treatment contraata, restrictina ourselves to PBIBD's with two clus association schemea under a mixed model we follow the approach of Sinha and Sinha (1969) to study the behaviour of tho average variance v¯ as a function of θ=λ1−λ2 and also as a function of the auociation scheme to some extent. The functional form of v¯ turna out to be the Jame as that under fixed effects model and either V(¯θ)⩽V¯(−θ) Or V(¯θ)⩾V¯(−θ) for all admissible θ>0. We got that when a BIB dosian does not exist with tho alven parameters a GO design with λ2=λ1+1, if it exists, is A-optimal within the class of all PBIB designs with two associate class association schemes. This proves that in respect of A-optimality, the result of Chong (1978) can be extended to all GD designs with λ2=λ1+1, if we restrict ourselves to such PBIB dosigns.