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Statistics Statistics

Distributions of Sample Statistics	The Central Limit Theorem	Stable Distributions
Characteristic Functions	Averaging and Other Manipulations of Data	Other Topics

 

Distributions of Sample Statistics Sample Mean Sample Variance Sample Standard Deviation Sample Median Sample Maximum Sample Minimum Sample Range Sample Skewness Sample Kurtosis Sample Quartile Sample Percentile Sample Regression Coefficients Sample t-Ratio Sample Midrange   The Distribution of Sample Maximums as a Function of Sample Size for an Unbounded Distribution The Scaling of Sample Extremes as a Function of Sample Size The Probability Distribution of the Sample Quartile as a Function of Sample Size The Probability Distribution of the Sample Percentile as a Function of Sample Size   The Central Limit Theorem The Central Limit Theorem Extensions of the Central Limit Theorem Illustration of the Central Limit Theorem for Sample Means   Stable Distributions Characteristic Functions and the Levy-Pareto Stable Distributions The Multimodality of a Probability Distribution Function in General and the Levy Stable Distributions in Particular The Generation of Random Variables Having Levy-Stable Distributions   Characteristic Functions Characteristic Functions and the Levy-Pareto Stable Distributions Inversion of a Characteristic Function   Averaging and Other Manipulations of Data Cumulative Sums of Random Disturbances Statistical Considerations for Variables Which are the Cumulative Sums of Random Disturbances Trends and the Stochastic Structure of Temperature and Other Variables Which are the Cumulative Sum of Random Disturbances Which are Serially Correlated How the Use of Moving Averages Can Create the Appearance of Confirmation of Theories Where None Exists Other Topics Assessing the Statistical Significance of Temperature Trends for North America An Explanation of the Gender Difference in Variability The Distribution of Rain Storm Intensities The Identification Problem in Econometrics Illustration of Random Walk Models of Prices The Sex Ratio of Human Births The Statistical Dynamics of the Sex Ratio The Win Ratio in Statistical Competitions The Expected Length of Runs HOME PAGE OF applet-magic HOME PAGE OF Thayer Watkins