======Mathematical Statistics by Ms. Iqra Liaqat====== {{ :notes:mathematical-statistics-iqra-liaqat.jpg?nolink|Mathematical Statistics by Ms. Iqra Liaqat}} These notes are send by Ms. Iqra Liaqat. We are really very thankful to her for providing these notes and appreciates her effort to publish these notes on MathCity.org ^ Name |Mathematical Statistics | ^ Provided by |Ms. Iqra Liaqat | ^ Pages |298s pages | ^ Format |PDF (see [[::software]] section for PDF Reader) | ^ Size |8 mB | ====Contents & Summary==== In this section, the main heading are given below. * Probability * Mutually exclusive events * Exhaustive events * Equally likely events * Counting rules * Multiplication rule * Permutation rule * Combination rule * Vote * Classical definition of probability * Relative frequency * Subjective approach * Axioms of probability * General law of addition of probability * Playing cards * Condition al probability * Multiplication law * Total probability theorem * Baye's theorem * Random variable * Distribution function * Mean and variance of discrete random variable * Continuous random variable * Mean & variance of continuous random variable * Chebyshev's inequality * Joint Distribution * Discrete probability distributions * Uniform distribution * Bernoulli trials * Binomial experiment * Properties of binomial experiment * Binomial distribution * Moments * Moments generating function * Cumulants * Cumulants generating function (c.g.f) * c.g.f of binomial distribution * Hypergeometric distribution * Properties of hypergeometric distribution * Poisson distribution * Properties of Poisson distribution * Recurrence rule for Poisson probabilities * Moment generating function * Comulant generating function * Central moment of Poisson distribution * Negative binomial distribution * Geometric distribution * Continuous distributions * Uniform distribution * Exponential distribution * Gauss distribution * Beta function * Beta distribution (1st kind) * Beta distribution (2nd kind) * Normal distribution (Gaussian distribution) * Point of inflexion (inflection) * Area under the normal curve * Inverse normal distribution * Normal approximation to binomial distribution * Correction for continuity * Normal approximation * Normal approximation to Poisson distribution * Properties of mathematical expectation * Correlation * Moments of uni-variate variable * Moments of bi-variate variable * Standardized covariance * Regression * Linear regression * Method of least squares * Regression lines * Rank correlation * Pearson product correlation formulas * Derivation of rank correlation coefficient * Rank correlation for tied ranks * Coefficient of determination * Standard error of estimates * Multiple regression * Deviation formulas * Standard error of estimates * Matrix representation * Coefficient of multiple correlation and determination * Multiple correlation an partial correlation * Sampling and sampling distribution * Standard error * Sampling distribution * Chi-square distribution * Degree of freedom * Properties of Chi-square distribution ==== Download ==== * **{{ :notes:mathematical-statistics-iqra-liaqat.pdf|Download PDF ~ 7.79MB}}** * View Online {{gview noreference>:notes:mathematical-statistics-iqra-liaqat.pdf}} ====Notes by other authors==== {{topic>statistics&nouser&simplelist}} {{tag>MSc BS BS_Notes Iqra_Liaqat Statistics}}