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- W2768693774 abstract "In the field of probability and statistics, thequantile function and the quantile density function which is thederivative of the quantile function are one of the importantways of characterizing probability distributions and as well,can serve as a viable alternative to the probability massfunction or probability density function. The quantile function(QF) and the cumulative distribution function (CDF) of thechi-square distribution do not have closed formrepresentations except at degrees of freedom equals to two andas such researchers devise some methods for theirapproximations. One of the available methods is the quantilemechanics approach. The paper is focused on using thequantile mechanics approach to obtain the quantile densityfunction and their corresponding quartiles or percentagepoints. The outcome of the method is second order nonlinearordinary differential equation (ODE) which was solved usingthe traditional power series method. The quantile densityfunction was transformed to obtain the respective percentagepoints (quartiles) which were represented on a table. Theresults compared favorably with known results at highquartiles. A very clear application of this method will help inmodeling and simulation of physical processes." @default.
- W2768693774 created "2017-12-04" @default.
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- W2768693774 date "2017-10-26" @default.
- W2768693774 modified "2023-09-27" @default.
- W2768693774 title "Quantile Approximation of the Chi–square Distribution using the Quantile Mechanics" @default.
- W2768693774 hasPublicationYear "2017" @default.
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