Thus, if P follows a GBM considering the initial value of P, then its future values P(t) have lognormal distributions
with the mean and variance calculated using equations (8) and (9).
In the "Method of Moments Estimates" section, we demonstrate that the system of equations (1) and (3) is an equivalent representation of the system of two method of moment equations stating that the first and the second sample moments are equal to the corresponding first and second moments of the truncated lognormal distribution
with parameters ([mu], [sigma]).
1 and Lognormal distribution
is chosen as the restoration model with [mu]=1, [delta]=0.
We characterized this uncertainty using statistical simulations from normal and lognormal distributions
The parameters for the lognormal distributions
of drinking water consumed by person per day (IRW), ml / (kg x day)  Age group, [mu] [sigma] Lower limit Upper limit years 1-3 3.
Other reasons for utilizing the lognormal distribution
are that it is strictly positive, it can approximate sums of positive random variables, it can represent the relationship between capacity and activity time, and it can represent the ratio between actual and estimated activity time .
Merton (16) has argued that the Black-Scholes formula for the European call option may be obtained in a discrete time model if there is a single investor whose utility function exhibits constant proportional risk aversion and the returns on the underlying asset follow a lognormal distribution
and the underlying asset is aggregate national wealth.
For the occupancy schedules, the lognormal distribution
was used with Equation 3.
Empirical models include negative binomial distribution, log-series distribution, geometric distribution, lognormal distribution
and so on.
We further assumed that the incubation periods of cases among humans in all cities followed the same lognormal distribution
In this paper we use a parametric method based on lognormal distribution
The parameters of the lognormal distribution
are given by equation 22 and 23.
models network traffic inter-arrival time better than Pareto distribution, especially, in the lower tail region .
The curves of the probability density function of norma distribution and lognormal distribution
The lognormal distribution
, which has the lowest AIC, is the best fit for the measured data.