======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
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====Notes by other authors====
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