Showing papers in "Calcutta Statistical Association Bulletin in 1973"

Nonparametric Testing Under Progressive Censoring

Abstract: SummaryProgressive censoring schemes (allowing a continuous monitoring of experimentation until a terminal decision is reached) are often adopted in clinical trials and life testing problems. In this paper, a general class of rank order tests for progressive censoring is proposed. Along with a basic martinga:le property and a Brownian motion approximation for a related rank order process, asymptotic distribution theory of the proposed statistics is developed. Asymptotic performance characteristics of the proposed tests (in the light of Bahadur efficiency and the stochastic smallness of the stopping variables) are studied.

Extended Generalized Right Angular Designs and their Applications as Confounded Asymmetrical Factorial Experiments

Abstract: Summary In this paper the authors introduce extended generalized right angular (EGRA) designs as generalizations of generalized right angular (GRA) designs of Tharthare (1965) to enlarge the scope of confounding asymmetrical factorial experiments. The applications of two series of these designs as confounded asymmetrical factorial experiments were also discussed.

Restricted Random Walk with Crossings, Positive and Total Returns in Three Lines Enumerated

Abstract: in case the path touches up to or before the 2oth step neither -b nor a (a, b > 0) i.e. we assume that there are absorbing barriers at a and b and the particle does not reach any of these barriers. This problem with reference to only one point has been dealt with by the author (1974). Another version of this problem in gambling terminology is as follows. Let A and B play 2n games starting with amounts a and b coins respectively. In each game the stake is unit coin and the probability of either player winning is t (i.e. no draw). Given that up to and including the 2oth game none gets ruined and at the end of the 2oth game they are quits (i.e. in their original position), we may be interested in knowing how often the lead changes from one player to the other, how many of the quits have been achieved while B has been in a winning position, how often the gain of one player touches and/or crosses a fixed level.