Probability Distribution Rate Analysis

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PROBABILITY DISTRIBUTION FUNCTIONS IN RAINFALL ANALYSIS Sugandh Pratap Singh (2016CEW2427)
INTRODUCTION
Water is the source of all life on Earth. The total amount of water present on the earth is fixed and does not change. Rainfall intensities of various frequencies and durations are the basic input in hydrologic design. Precipitation frequency analysis is used to estimate rainfall depth at a point for a specified exceedence probability and duration. Rainfall frequency analysis is usually based on annual maximum series at a site (at-site analysis) or from several sites (regional analysis).
The maximum value may not always yield the true maximum amount for a specified duration. For
(1993) indicated that all rainfall stations at the same area cannot be described by just a single probability distribution, assuming these stations belong to a certain probability distribution and form a cluster. All the stations in the same area can be classified into several clusters in accordance with their probability distributions.
PDFs AND GOODNESS OF FIT TESTS
A probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey etc. A probability distribution can either be univariate or multivariate. A univariate distribution gives the probabilities of a single random variable taking on various alternative values; a multivariate distribution (a joint probability distribution) gives the probabilities of a random vector (a set of two or more random variables) taking on various combinations of values. Important and commonly encountered univariate probability distributions include the binomial distribution, the hyper geometric distribution, and the normal distribution. The multivariate normal distribution is a commonly encountered multivariate