Mathematical Journal of Interdisciplinary Sciences
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The Interplay between I-max, I-min, p-max and p-min Stable Distributions
Get PDFExtreme value laws are limit laws of linearly normalized partial maxima of independent and identically distributed (iid) random variables (rvs), also called as l-max stable laws. Similar to l-max stable laws, we have the l-min stable laws which are the limit laws of centered and scaled partial minima, p-max and p-min stable laws which are respectively the limit laws of normalized maxima and minima under power normalization. In this article, we look at transformations between l-max, l-min, p-max and p-min stable distributions and their domains. The transformations in this article are useful in simulation studies
Maximal Left Ideals In Local Goldie (-1, 1) Rings
Get PDFIn this paper, we show how to reduce the study of nondegenerate local Goldie (-1, 1) rings to the strongly prime case, via the notions of uniform ideals and essential subdirect product. Also, we construct the maximal left quotient ring of (-1, 1) ring that is a left quotient ring of itself. We follow Utumi where a maximal left quotient ring is constructed as a direct limit of a partially defined homomorphism from the left ideal of R to R
Bayesian Method in Linear Model and Constant Time Series Model Using Non- Informative Prior Under Phenology
Get PDFClimate Change is very recent topic at global level for discussion for all of us. Phenology is one of the main bio- indicators to track climate change effects on ecosystem. The present study is devoted to derive results of coherent interest in the field of phenology from Bayesian point of view. In this paper we have developed the phenological probability models using linear model and constant time series model. The comparison of both the models has also been done using the concept of residual sum of square and Bayes’ factor
Inventory Model of Deteriorating Items for Linear Holding Cost with Time Dependent Demand
Get PDFThe objective of this model is to investigate the inventory system for perishable items with time proportional deterioration rate. The Economic order quantity is determined for minimizing the average total cost per unit time. The model is developed for time-dependent demand rate with finite time horizon and linear holding cost with a shortage. The result is illustrated with a numerical example
Almost Irresolute Functions Via Generalized Topology
Get PDFA function f : (X, μ ) → (Y, σ ) is said to be almost ( μ, σ ) - irresolute if f - 1 (V) ∈ so(X, μ ) for every regular semi-open set V of Y . In this paper the authors introduce and investigate almost ( μ , σ )- irresolute, quasi ( μ , σ )- irresolute on generalized topological space (X, μ ) into the topological space (Y, σ ) . Some characterizations and properties of such a type of functions are discussed
Improved Ratio Type Estimator Using Two Auxiliary Variables under Second Order Approximation
Get PDFIn this paper, we have proposed a new Ratio Type Estimator using auxiliary information on two auxiliary variables based on Simple random sampling without replacement (SRSWOR). The proposed estimator is found to be more efficient than the estimators constructed by Olkin (1958), Singh (1965), Lu (2010) and Singh and Kumar (2012) in terms of second-order mean square error
Fractals Generated by Various Iterative Procedures – A Survey
Get PDFThese days fractals and the study of their dynamics is one of the emerging and interesting area for mathematicians. New fractals for various equations have been created using one-step iterative procedure, two-step iterative procedure, three-step iterative procedure and four-step iterative procedure in the literature. Fractals are geometric shapes that have symmetry of scale. In this paper, a detailed survey of fractals existing in the literature such as Julia sets, Mandelbrot sets, Cantor sets, etc have been given
On Sample Size Determination
Get PDFOne of the questions most frequently asked of a statistician is: How big should the sample be? Managers are anxious to obtain an answer to this fundamental question during the planning phase of the survey since it impacts directly on operational considerations such as the number of interviewers required. There is no magical solution and no perfect recipe for determining sample size. It is rather a process of compromise in which the precision requirements of the estimates are weighed against various operationalconstraints such as available budget, resources and time. In this article, we revisit to the estimate of sample size for various project characteristics. Examples for each are supported numerically
Maximum Likelihood Estimation for Step-Stress Partially Accelerated Life Tests based on Censored Data
Get PDFThe aim of this article is to perform the estimation procedures on Rayleigh parameter in step-stress partially accelerated life tests (PALT) under both Type-I and Type-II censored samples in which all the test units are first to run simultaneously under normal conditions for a pre-specified time, and the surviving units are then run under accelerated conditions until a predetermined censoring reached. It is assumed that the lifetime of the test units follows Rayleigh distribution. The maximum likelihood estimates are obtained for the proposed model parameters and acceleration factor for each of Type-I and Type- II censored data. In addition, the asymptotic variances and covariance matrix of the estimators are presented, and confidence intervals of the estimators arealso given