Showing papers by "Rahul Mukerjee published in 1985"
TL;DR: In this paper, the authors derived optimal designs for second-and third-order polynomial regression over spherical regions under the minimax criterion for estimating the slope of a response surface.
Abstract: SUMMARY Designs for estimating the slope of a response surface are considered. Minimization of the variance of the estimated slope maximized over all points in the factor space is taken as the optimality criterion. Optimal designs under the minimax criterion are derived for second- and third-order polynomial regression over spherical regions.
53 citations
TL;DR: This article showed that for sensitive and confidential characters the usual loss of efficiency due to randomized rather than direct response may be partially recouped if the interviewees are left free to opt for either mode of response.
Abstract: It is shown that for sensitive and confidential characters the usual loss of efficiency due to randomized rather than direct response may be partially recouped if the interviewees are left free to opt for either mode of response. Specific results are derived with multinomial sampling.
22 citations
TL;DR: In this paper, the notion of affine (μ1,…,μ1)-resolvability is introduced and the interrelations between affine resolution and variance-balance are explored.
Abstract: This paper introduces the notion of affine (μ1,…,μ1)-resolvability and explores the interrelations between: (a) affine (μ1,…,μ1)-resolvability, (b) variance-balance, and (c) the relation b = v+t-1, where b is the number of blocks. It is seen that, while (a) and (b) imply (c), and (b) and (c) imply (a), the relation (a) and (c) imply (b) is not in general true. A necessary and sufficient condition under which (a) and (c) imply (b) has been derived and certain nonexistence results follow. The last section states an open problem in this connexion and indicates the link with a problem in factorial designs.
20 citations
TL;DR: Asymptotically D- and E-optimal spring balance weighing designs with string property are obtained in this paper, where techniques applied include use of Frechet derivatives and some new exact optimality results follow.
6 citations
TL;DR: In this article, the authors apply Frechet derivatives to derive asymptotic D-optimal statistical designs where the designmatrix is a (O,l)-matrix having exactly one run [of length at most k(, the number of parameters) of l's in each row.
Abstract: This paper applies Frechet derivatives to derive asymp-totically D-optimal statistical designs where the designmatrix is a (O,l)-matrix having exactly one run [of length at most k(, the number of parameters) of l's in each row. These asymptotic results have been utilized in dealing with the more intractable design problem with a finite number of observations. The problemof E-optimality has also been considered.
3 citations
TL;DR: F fuzzy relations defined over fuzzy subsets are considered and some open problems regarding the distributivity and transitivity of such relations are settled.
3 citations
TL;DR: In this paper, the problem of judging how good an actual compromise allocation is compared to Neyman's optimum allocation for the case of stratified random sampling by obtaining a bound to the ratio of the corresponding variances is considered.
Abstract: In this paper we shall consider the problem of judging how good an actual compromise allocation is compared to Neyman's optimum allocation for the case of stratified random sampling by obtaining a bound to the ratio of the corresponding variances. A solution to a more general version of the problem considered by COCHRAN (1977) and RAO (1983) has been obtained and the results have been empirically demonstrated.
1 citations