Properties of lognormal distribution

1. Non-negative: The lognormal distribution is non-negative, meaning that the values can never be less than zero.

2. Skewed: The lognormal distribution is positively skewed. This means that the tail of the distribution extends further to the right than the left.

3. Unimodal: The lognormal distribution is unimodal, meaning that it has only one peak.

4. Continuous: The lognormal distribution is a continuous distribution, which means that it can take on an infinite number of values between any two points.

5. Multiplicative: The lognormal distribution is a multiplicative distribution, meaning that the product of two lognormally distributed random variables is also lognormally distributed.

6. Shape: The shape of the lognormal distribution can be controlled by its two parameters: the mean and variance of the underlying normal distribution.

7. Applications: The lognormal distribution is commonly used to model phenomena such as stock prices, income, and natural phenomena like earthquake magnitudes and particle sizes.