Md salim khan lognormal distribution
Particle number size distributions have been measured simultaneously by Scanning Mobility Particle Sizers (SMPS) at five sites in Central.
In lognormal distribution model, the log intensity of the laser light travelling through the media is generally distributed with an average value of –σ2/2.!
Log-normal distribution
Probability distribution
Probability density function Identical parameter but differing parameters | |||
Cumulative distribution function | |||
| Notation | |||
|---|---|---|---|
| Parameters | (logarithm of location), (logarithm of scale) | ||
| Support | |||
| CDF | |||
| Quantile | |||
| Mean | |||
| Median | |||
| Mode | |||
| Variance | |||
| Skewness | |||
| Excess kurtosis | |||
| Entropy | |||
| MGF | defined only for numbers with a non-positive real part, see text | ||
| CF | representation is asymptotically divergent, but adequate for most numerical purposes | ||
| Fisher information | |||
| Method of moments | |||
| Expected shortfall | [1] | ||
In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed.
Thus, if the random variable X is log-normally distributed, then Y = ln(X) has a normal distribution.[2][3] Equivalently, if