Lognormal Distribution
Catherine Scipione Forbes, Merran Evans, Nicholas Anthony John Hastings, Brian Peacock
Abstract
Catherine Scipione Forbes, Merran Evans, Nicholas Anthony John Hastings, Brian Peacock
Abstract
The lognormal distribution is applicable to random variables that are constrained by zero but have a few very large values. The resulting distribution is asymmetrical and positively skewed. Examples for lognormal distribution include the following: the weight of adults, the concentration of minerals in deposits, duration of time off due to sickness, distribution of wealth and machine down times. The application of a logarithmic transformation to the data can allow the data to be approximated by the symmetrical normal distribution, although the absence of negative values may limit the validity of this procedure. This chapter illustrates probability density function, distribution function and Hazard function for the lognormal variate. It discusses variate relationships, parameter estimation and random number generation for the lognormal variate. Controlled Vocabulary Terms control variate; hazard function; log-normal distribution; normal distribution; probability density function; random variables
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The lognormal distribution is applicable to random variables that are constrained by zero but have a few very large values. The resulting distribution is asymmetrical and positively skewed. Examples for lognormal distribution include the following: the weight of adults, the concentration of minerals in deposits, duration of time off due to sickness, distribution of wealth and machine down times. The application of a logarithmic transformation to the data can allow the data to be approximated by the symmetrical normal distribution, although the absence of negative values may limit the validity of this procedure. This chapter illustrates probability density function, distribution function and Hazard function for the lognormal variate. It discusses variate relationships, parameter estimation and random number generation for the lognormal variate. Controlled Vocabulary Terms control variate; hazard function; log-normal distribution; normal distribution; probability density function; random variables
Key concepts: Log-normal distribution, Mathematics, Random variate, Normal-gamma distribution, Statistics, Probability density function, Distribution fitting, Normal distribution