Inverse Analogue of Ailamujia Distribution with Statistical Properties and Applications
Aijaz Ahmad, Afaq Ahmad, Rajnee Tripathi
Abstract
The present paper deals with the inverse analogue of Ailamujia distribution (IAD). Several statistical properties of the newly developed distribution has been discussed such as moments, moment generating function, survival measures, order statistics, shanon entropy, mode and median .The behavior of probability density function (p.d.f) and cumulative distribution function (c.d.f) are illustrated through graphs. The parameter of the newly developed distribution has been estimated by the well known method of maximum likelihood estimation. The importance of the established distribution has been shown through two real life data.
Topics & Concepts
MathematicsCumulative distribution functionPrinciple of maximum entropyProbability density functionStatisticsHalf-normal distributionInverseInverse distributionMoment-generating functionInverse-gamma distributionDistribution (mathematics)Distribution fittingApplied mathematicsSurvival functionMaximum entropy probability distributionInverse-chi-squared distributionOrder statisticGamma distributionStatistical physicsDistribution functionProbability distributionMathematical analysisHeavy-tailed distributionAsymptotic distributionPhysicsGeometryQuantum mechanicsSurvival analysisEstimatorStatistical Distribution Estimation and ApplicationsHydrology and Drought AnalysisForecasting Techniques and Applications