Determining the Parameters of a Multinomial Distribution: The Fiducial Approach
نویسنده
چکیده
A procedure is derived for determining the values of the parameters of a multinomial distribution by means of the fiducial approach proposed by Fisher. By decomposing the involved probability (mass or density) functions, it is shown that the resulting fiducial distributions belong to the Dirichlet family.
منابع مشابه
Improving the Performance of Bayesian Estimation Methods in Estimations of Shift Point and Comparison with MLE Approach
A Bayesian analysis is used to detect a change-point in a sequence of independent random variables from exponential distributions. In This paper, we try to estimate change point which occurs in any sequence of independent exponential observations. The Bayes estimators are derived for change point, the rate of exponential distribution before shift and the rate of exponential distribution after s...
متن کاملProposing an Index to Evaluate the Groundwater Quality Using “Multi-Criteria Decision Making” Approach and Analyzing the Spatial Distribution in Tajan Plain, Northern Iran
Abstract Background and purpose:In many regions especially in the north of Iran groundwater is the most important resource for drinking supply. A present study was carried out in the Tajan plain in northern Iran. The aim of this study was to evaluate the quality of groundwater. Materials and Methods:In order to constructing the groundwater quality index (GWQI) 3 main levels were composed select...
متن کاملThe Analysis of Bayesian Probit Regression of Binary and Polychotomous Response Data
The goal of this study is to introduce a statistical method regarding the analysis of specific latent data for regression analysis of the discrete data and to build a relation between a probit regression model (related to the discrete response) and normal linear regression model (related to the latent data of continuous response). This method provides precise inferences on binary and multinomia...
متن کاملDetermining TG-43 brachytherapy dosimetry parameters and dose distribution for a 131Cs source model CS-1
Background: Monte Carlo determination of TG-43 brachytherapy dosimetry parameters and dose distribution calculation for 131Cs source model CS-1 are presented in this study. Materials and Methods: The dose distribution was calculated around the 131Cs Model CS-1 located in the center of 30 cm ×30 cm ×30 cm water, and soft tissue phantoms cube using MCNP code by Monte Carlo method. The percentage ...
متن کاملInference for functions of parameters in discrete distributions based on fiducial approach: Binomial and Poisson cases
In this article, we propose a simple method of constructing confidence intervals for a function of binomial success probabilities and for a function of Poisson means. The method involves finding an approximate fiducial quantity (FQ) for the parameters of interest. A FQ for a function of several parameters can be obtained by substitution. For the binomial case, the fiducial approach is illustrat...
متن کامل