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SOFTWARE FOR FITTING OF DISTRIBUTIONS

KrishiKosh

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Field Value
 
Title SOFTWARE FOR FITTING OF DISTRIBUTIONS
 
Creator ASHUTOSH KARNA
 
Contributor R. C. Goyal
 
Subject marketing, electrophoresis, sampling, physical control, land resources, sets, packaging, manpower, byproducts, diseases
 
Description t-8154
Statistics is a science of drawing conclusions on uncertainty and deals with
collection, presentation, analysis and interpretation of numerical data. One of the
main objectives of statistics is to draw valid inferences about a population from the
analysis of a sample drawn from that population. It generates the need to study
probability distribution and analyzing the behavior of data distribution in order to
estimate various statistical constants. Probability distributions fall in two major
categories:
1) Discrete distribution-when a random variable is allowed to take on only a
limited number of values, e.g. Uniform, Binomial, Poisson, Geometric etc.
2) Continuous distribution-When a random variable can take any value within a
specified range e.g. Normal, Beta, and Exponential etc.
The theoretical probability distributions provide decision makers with a logical basis
for making decisions on the basis of limited information. For example, the
distribution of weeds over a unit area in a field crop is fitted by Uniform
distribution; but distribution of insects in a field is fitted by Poisson distribution.
Similarly, Logistic and Pareto distribution are used to fit population data. Thus, one
must be careful while choosing the correct probability distribution as per the
situation being faced. The theory of estimation forms the foundation of statistical
inference which uses the probability concepts to deal with uncertainty and decision
making. The concept of estimation of parameters can’t be visualized until and unless
the distribution function of population is identified and thus distribution fitting also
plays a significant role in finding various statistical constants of the population.
Thus an attempt has been made to develop software that can fit certain number of
discrete and continuous distributions as per the real life situations and fit the
theoretical data using Kolmogorov - Smirnov and Chi-Square tests of goodness of
fits, once the parameter have been estimated (broadly using MLE techniques).
Leading statistical softwares including SAS, SPSS, and Minitab etc. are already
available on this aspect yet no indigenous and/or web-enabled software has thus far
been developed at IASRI. Keeping this in view, this software has been developed
using Visual C# 2008 language with ASP.NET 3.5 framework. Data file formats
supported by this software are .txt and .xls. In addition to fitting of distribution, the
software can also be used interactively to draw Quantile-Quantile plot for
continuous distributions; and computing various special functions (including
Gamma, Beta, and Incomplete Gamma etc.) at runtime. A user friendly help file
with step-by-step method for using the software has also been provided.
 
Date 2016-12-23T09:27:35Z
2016-12-23T09:27:35Z
2009
 
Type Thesis
 
Identifier http://krishikosh.egranth.ac.in/handle/1/92326
 
Format application/pdf
 
Publisher INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE