Journal of the Kerala Statistical Association 2022-07-15T04:55:34+00:00 Dr. K. Jayakumar Open Journal Systems <p>Journal of the Kerala Statistical Association is the official peer-reviewed Journal of Kerala Statistical Association (KSA) founded in 1978. The Journal has been published since 1980 and is published annually. The Journal is intended to publish papers that make significant original contributions in both theory and methodological advances in Probability and Statistics. New applications of statistical and probabilistic methods will also be considered for publication. The Journal is open to critical debate in the objective, wide-ranging and free spirit of research. The international editorial board of the Journal is comprised of scientists with interests in applied, computational, methodological and theoretical aspects of Probability and Statistics. </p> <p>The editorial history of the journal includes, Prof K Ramakrishna Pillai (St. Thomas College Pala), Prof R N Pillai (University of Kerala), Prof P Yageen Thomas (University of Kerala) and currently Prof K Jayakumar (University of Calicut) as Journal editors. The journal has already published 32 volume and cumulatively more than 100 research papers.</p> <p> </p> <p><strong>Aim of the Journal:</strong> The Journal’s emphasis is on publishing papers developing and analyzing new methods for any active field of statistics and probability theory with direct or potential real-life applications. The Journal seeks papers making significant contributions of interest to a broad group of readers than to a highly specialized group. Original contributions in the interface of statistics and other fields are also published.</p> A Class of Tests Based Jointly on Sub-Sample Minimum and Median 2022-07-09T07:56:31+00:00 Arun Kumar Manish Goyal Narinder Kumar <p>In Statistics, nonparametric tests play a very important role when the data sets are not normal. In this paper, we develop a class of nonparametric tests to compare location parameters of two populations. The proposed test statistic is based jointly on minimum and median of the sub-samples. The mean and variance of the test statistic are derived. The test statistic has asymptotic normality under some assumptions. The proposed class of the tests is compared with its existing competitor’s w.r.t. Pitman and Bahadur asymptotic relative efficiency. As an illustration, the proposed test is applied to a real life data set. We carried out the Monte Carlo simulation study to find the power and level of significance of the proposed test.</p> 2021-12-01T00:00:00+00:00 Copyright (c) 2022 Journal of the Kerala Statistical Association Extended Gamma, Beta and Hypergeometric Functions: Properties and Applications 2022-07-09T08:06:02+00:00 Umar Muhammad Abubakar Huzifa Muhammad Tahir Isyaku Shu’aibu Abdulmumini <p>The main objective of this paper is to study the newly introduced extended gamma function and present some properties of the existing extended beta and hypergeometric functions with their properties such as integral formulas, functional relations, differential formulas, summation formulas, recurrence relations and the Mellin transform. In addition, applications of the extended beta function to statistical distributions have been discussed by providing mean, variance, coefficient of variance, moment generating function, cumulative distribution and reliability function of the new extended beta distribution.</p> 2021-12-01T00:00:00+00:00 Copyright (c) 2022 Journal of the Kerala Statistical Association Some Properties of Laplace Process 2022-07-09T08:11:45+00:00 S Satheesh <p>Laplace process was introduced in Satheesh (1990) as a possible alternative to Wiener process. Here we discuss some properties of this process viz. correlation, martingales, finite dimensional distributions and sample paths. A review of the rich theoretical developments over Laplace process, driven by data, over the years is also given.</p> 2021-12-01T00:00:00+00:00 Copyright (c) 2022 Journal of the Kerala Statistical Association Estimation of the Scale Parameter of Triangular Distribution Using Absolved Order Statistics 2022-07-09T08:26:49+00:00 V Anjana <p>In this paper, a new set of ordered random variables called Absolved Order Statistics(AOS) from a scale dependent triangular distribution is considered. The vector of AOS is found to be the minimal sufficient statistic for the triangular distribution with scale parameter σ. Based on AOS, the best linear unbiased estimate ˆσ of σ along with its variance is explicitly derived. It is found that censoring based on AOS is more realistic and the estimate obtained from it for σ is more efficient than the case of censoring with order statistics. In this study, we also obtained the U-statistic estimator based on AOS for the scale parameter σ of the triangular distribution.</p> 2021-12-01T00:00:00+00:00 Copyright (c) 2022 Journal of the Kerala Statistical Association