Section4.4-students_SP11

Section4.4-students_ - Beyond the Normal Distribution Section 4.4 Normal Distribution N 2 Continuous distribution defined on entire real

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1 Beyond the Normal Distribution Normal Distribution --- N( , 2 ) Continuous distribution, defined on entire real line (allows positive density on negative numbers, even though it may be negligible) Symmetric What if we want to model a phenomena that has a skewed distribution? [For example taking all values in (0, ) Income [Economics, Management] Time until the next “hit” on a web page [Web Data Mining Response time to a stimulus [Psychology] Lifetime of a component of a device [reliability studies] Inter-arrival times of events [Transportation, Reliability, Queuing] A flexible “family” of distributions is used to model these phenomena The family can represent a large variety of shapes Section 4.4 Gamma, Exponential and 2 Distributions Gamma Distribution : X Gamma( , ) Flexible, two-parameter family of distributions. Special Cases: Exponential Distribution: X Exp( ) Chi-Squared Distribution: X 2
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2 Gamma Distribution
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Section4.4-students_ - Beyond the Normal Distribution Section 4.4 Normal Distribution N 2 Continuous distribution defined on entire real

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