Mathematical Journal of Interdisciplinary Sciences
Not a member yet
127 research outputs found
Sort by
A Teaching Note for Model Selection and Validation
Get PDFThe model selection problem is always crucial for any decision making in statistical research and management. Among the choice of many competing models, how todecide the best is even more crucial for researchers. This small article is prepared as a teaching note for deciding an appropriate model for a real-life data set. We brieflydescribe some of the existing methods of model selection. The best model from the two competing models is decided based on the comparison of the limited expected valuefunction (LEVF) or loss elimination ratio (LER). A data set is analyzed through MINITAB software
A Note on Two Diophantine Equations 17x + 19y = z2 and 71x + 73y = z2
Get PDFIn this short note, we study some Diophantine equations of the form px+qy = z2, where x,y, and z are non-negative integers and, p and q are both primes, p < q, with distance two
Estimating the Population Mean in Two-Stage Sampling with Equal Size Clusters under Non-Response Using Auxiliary Characteristic
Get PDFThe present paper has been devoted to the study of estimating the population means in two-stage sampling with equal size clusters under non-response using an auxiliary variable. This paper focuses on the study of general families of factor-type estimators of population mean considering two different cases in which non-response is observed on study variable only and on both study and auxiliary variables respectively. The optimum properties of the proposed families in both cases are discussed. The empirical study is also carried out in support of the theoretical results
Order Statistics Based Measure of Past Entropy
Get PDFIn this paper, we have proposed a measure of past entropy based on order statistics. We have studied this measure for some specific lifetime distributions. A Characterizationresult for the proposed measure has also been discussed and also and an upper bound for this measure has been derived
A Ratio-cum-Dual to Ratio Estimator of Population Variance Using Qualitative Auxiliary Information Under Simple Random Sampling
Get PDFIn this paper we have proposed a class of ratio-cum-dual to ratio estimators for estimating population variance of the variable under study, using known values of some population parameters of auxiliary variable, which is available in the form of an attribute. The expressions for the bias and mean squared error of the proposed estimators have been derived up to the first order of approximation. A comparison has been made with some well-known estimators of population variance available in the literature when auxiliary information is in qualitative form. It has been shown that the proposed estimator is better than the existing estimators under the optimum condition. For illustration, an empirical study has been carried out
Effect of Socio-Economic Variables on of Computer Literacy Among University Students
Get PDFComputer literacy is defined as the understanding of computer characteristics, capabilities, applications, as well as an ability to implement the skillful knowledge of computers. This present study is based on the small sample survey of Rajasthan university students and employees regarding computer knowledge. A statistical analysis of socio-economic variables like sex (male & female), the standard of education undergraduate and post graduate, financial conditions and caste affecting the computer literacy of students is done. In this paper, the whole study is based on primary data obtained by filling of the questionnaire
Consolidation of a Poroelastic Half–Space
Get PDFA porous medium is an elastic solid permeated by an interconnected network of pores filled with a fluid. Both solid and pore network are assumed to be continuous so as to form two interpenetrating continua. The theory of poroelasticity investigates the time-dependent coupling between the deformation of the elastic solid skeleton and fluidflow within the skeleton. The solid-to-fluid and fluid-to-solid couplings are assumed to occur instantaneously in the quasi-static approximation in which elastic wave propagation is ignored. Consolidation of a poroelastic body takes place when it is acted upon by surface loads. The study of consolidation of a poroelastic half-space or stratum has received much attention due to its geophysical and engineering applications. The aim of the present paper is to review recent work on the subject, indicating the assumptions made, methods used and conclusions drawn
Measurement of Yearly Wastage in Elementary Education
Get PDFThe problem of wastage in Elementary Education System is becoming gradually very serious, across the world. Various methods have been proposed by researchers to measure real wastage in an Indian educational system, which seem to be inadequate because of multiple reasons. One of the main reasons is the occurrence of different type of wastages in the elementary education system. Further, there no reliable and consistent database, of educational statistics, that are available. In this paper, we wish to propose a method for measuring the real wastage by using the appropriate statistical technique of sampling
A Note on Monitoring Fuzzy Financial Returns
Get PDFThis paper presents change point analysis for stock market time series where it is assumed the rate of return on securities is approximated as LR-fuzzy numbers. We consider the change point detection in the mean and variance of returns. The methods are proposed and their theoretical aspects are studied. A real data set is also considered. Finally, a conclusion sectionis given
