Mathematics

  • Can Normal Distribution Be Skewed: Detailed Facts, Examples And FAQs

    Normal distribution is skewed with zero skewness, so the answer to the most common confusion can normal distribution be skewed is normal distribution is not skewed distribution as the curve

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  • Hermite Polynomial: 9 Complete Quick Facts

    Content   The Hermite polynomial is widely occurred in applications as an orthogonal function. Hermite polynomial is the series solution of Hermite differential equation. Hermite’s Equation     The differential equation

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  • 2D Coordinate Geometry: 11 Important Facts

    Locus in 2D Coordinate Geometry Locus is a Latin word. It is derived from the word ‘Place’ or ‘Location’. The Plural of locus is Loci. Definition of Locus: In Geometry,

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  • 13 Facts On Chebyshev’s Inequality & Central Limit Theorem

    In the probability theory the Chebyshev’s Inequality & central limit theorem deal with the situations where we want to find the probability distribution of sum of large numbers of random

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  • Point Sections Or Ratio Formulae: 41 Critical Solutions

    Basic Examples on the Formulae “Point sections or Ratio” Case-I Problems 21:  Find the coordinates of the point P(x, y) which internally divides the line segment joining the two points

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  • Problems On Probability & Its Axioms

    Examples: In a certain highway a restaurant offers three combination meals as an entree, a starch, and a dessert. These meals includes following dishes Entrée Paneer or Manchurian Starch Noodles

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  • Conditional Expectation: 7 Facts You Should Know

    Table of Content For the random variable dependent on one another requires the calculation of conditional probabilities which we already discussed, now we will discuss some more parameters for such

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  • Moment Generating Functions: 13 Important Facts

    Moment generating function     Moment generating function is very important function which generates the moments of random variable which involve mean, standard deviation and variance etc., so with the help of

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  • Covariance, Variance Of Sums: 7 Important Facts

    COVARIANCE, VARIANCE OF SUMS, AND CORRELATIONS OF RANDOM VARIABLES   The statistical parameters of the random variables of different nature using the definition of expectation of random variable is easy

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  • Conditional Variance & Predictions: 7 Important Facts

    In this article the conditional Variance and predictions using conditional expectation for the different kind of random variable with some examples we will discuss. Table of Content Conditional Variance The

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  • 11 Facts On Mathematical Expectation & Random Variable

    Mathematical Expectation and random variable          The mathematical expectation plays very important role in the probability theory, the basic definition and basic properties of mathematical expectation already we discussed in previous

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  • Conditional Distribution: 7 Interesting Facts To Know

    Content Conditional distribution Discrete conditional distribution Example on discrete conditional distribution Continuous conditional distribution Example on Continuous conditional distribution Conditional distribution of bivariate normal distribution Joint Probability distribution of function

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  • Jointly Distributed Random Variables: 11 Important Facts

    Content Jointly distributed random variables Joint distribution function | Joint Cumulative probability distribution function | joint probability mass function | joint probability density function Examples on Joint distribution Independent random

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  • Gamma Distribution Exponential Family: 21 Important Facts

    Content Special form of Gamma distributions and relationships of Gamma distribution Gamma distribution exponential family Relationship between gamma and normal distribution Poisson gamma distribution | poisson gamma distribution negative binomial

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  • Inverse Gamma Distribution: 21 Important Facts

    Inverse gamma distribution and moment generating function of gamma distribution       In continuation with gamma distribution we will see the concept of inverse gamma distribution and moment generating function, measure of

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