Journal of the Indian Society for Probability and Statistics

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A Note on the Construction of TORDs Using t-Designs
Journal of the Indian Society for Probability and Statistics - - 2024
Ankita Verma, Seema Jaggi, Eldho Varghese, Arpan Bhowmik, Cini Varghese, Anindita Datta, M. Hemavathi
The family of t-designs is one the most important family of statistical designs. These designs can be used to construct other significant designs. In this paper, an attempt has been made to construct Third Order Rotatable Designs (TORDs) in both symmetric and asymmetric levels using t-designs of unequal set sizes, i.e. UE-t designs. In most cases, the obtained design has lesser run size than third...... hiện toàn bộ
A Comparative Study of Queuing Systems with Variant of Activation Times and Impatience under N Policy
Journal of the Indian Society for Probability and Statistics - - 2024
Greeshma Joseph, Varghese Jacob
In this paper, we study single server queues under N policy with various server activation strategies and impatience of customers. Customers arrive according to a Poisson process. Service time, activation time, and impatience are exponentially distributed and are all mutually independent. Matrix Geometric Method is used to obtain the stationary distribution of the queuing process. With these distr...... hiện toàn bộ
C.R. Rao’s Influence on Theory and Practice of Sample Surveys
Journal of the Indian Society for Probability and Statistics - Tập 21 - Trang 123-134 - 2020
T. J. Rao
Prof. C. R. Rao’s Birth Centenary is being celebrated by statistical communities all over the world from 10 September 2019. In this paper, we shall present a brief biographical sketch of the living legend C. R. Rao and discuss some of his contributions in the areas of theory and practice of sample surveys which have resulted in certain important aspects.
When to Release and Stop Testing of a Software
Journal of the Indian Society for Probability and Statistics - Tập 18 - Trang 19-37 - 2016
P. K. Kapur, A. K. Shrivastava, Ompal Singh
For several decades both practitioners as well as researchers have contributed immensely towards solving one of the prime concerns of software firms regarding how long to continue testing? Although, efficient testing ensures reliable software but costs a lot to developer in terms of higher testing and market opportunity cost. Hence it’s imperative to obtain optimal testing time of software. Produc...... hiện toàn bộ
Log Type Calibration Estimator of Population Mean in Stratified Sampling
Journal of the Indian Society for Probability and Statistics - Tập 23 - Trang 19-45 - 2022
Neha Garg, Menakshi Pachori
In this paper, a log type calibration estimator for estimating the population mean in stratified random sampling has been proposed utilizing the available auxiliary information. This estimator has also been extended in case of double stratified sampling when mean of the auxiliary information is not known. The simulation study has been carried out using R software on real as well as artificial data...... hiện toàn bộ
On the Average Number of Real Zeros of a Random Trigonometric Polynomial
Journal of the Indian Society for Probability and Statistics - Tập 20 - Trang 109-116 - 2018
Bijayini Nayak
This work emphasizes the special role played by semi-stable distribution which is the generalization of the stable distribution. Here $$a_0,~ a _1,\ldots ,a_n$$ be a sequence of mutually independent random variables following semi-stable distribu...... hiện toàn bộ
Reliability of Age Statistics: A Probabilistic Approach
Journal of the Indian Society for Probability and Statistics - Tập 24 - Trang 469-484 - 2023
Jayanta Datta, Prasenjit Sinha
Self-reported information is often biased. There are only a few measures to examine self-reported data. The majority of these methods are based on assumptions, and these assumptions are subject to validation. The present study explores the widely used techniques to examine the reliability of age. A new method, ‘Probability Index (PI)’, is introduced to examine age statistics using a probabilistic ...... hiện toàn bộ
Binominal Mixture Lindley Distribution: Properties and Applications
Journal of the Indian Society for Probability and Statistics - Tập 21 - Trang 437-469 - 2020
M. R. Irshad, D. S. Shibu, R. Maya, Veena D’cruz
In this paper, we introduce a generalized mixture distribution, so-called the binomial mixture Lindley distribution (BMLD). The density function of this distribution is obtained by mixing binomial probabilities with gamma distribution. BMLD have various distributions as its special cases and posses various shapes for its hazard rate function including increasing, decreasing, bathtub shape and upsi...... hiện toàn bộ
Functional L.I.L. for the Upper Extremes of i.i.d. Random Variarbles from a Sub-class of Heavy Tailed Distributions
Journal of the Indian Society for Probability and Statistics - Tập 22 Số 2 - Trang 357-373 - 2021
R. Vasudeva
An Interesting Extension of the Dirichlet Model
Journal of the Indian Society for Probability and Statistics - Tập 18 - Trang 195-213 - 2017
A. M. Mathai
A k variable integral is introduced, which will produce the total integral eqivalent to the total integral in a $$(k-1)$$ -variate type-1 Dirichlet integral. Hence this author calls the new integral as type-1 pseudo Dirchilet integral. A statistic...... hiện toàn bộ
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