Distribution

How to derive the $\log$ of fraction of two Gaussian distribution

How to derive the $\log$ of fraction of two Gaussian distribution
  1. How do you derive the mean of lognormal?
  2. How do you find the log of a normal distribution?
  3. What are the 2 values that define a Gaussian distribution?

How do you derive the mean of lognormal?

The mean of the log-normal distribution is m = e μ + σ 2 2 , m = e^\mu+\frac\sigma^22, m=eμ+2σ2​, which also means that μ \mu μ can be calculated from m m m: μ = ln ⁡ m − 1 2 σ 2 .

How do you find the log of a normal distribution?

Lognormal distribution of a random variable

If X is a random variable and Y=ln(X) is normally distributed, then X is said to be distributed lognormally. Similarly, if Y has a normal distribution, then the exponential function of Y will be having a lognormal distribution, i.e. X=exp(Y).

What are the 2 values that define a Gaussian distribution?

In fact, only two parameters are required to describe a normal distribution: the mean and the standard deviation.

Noise Non Gaussian noise in communication system
Non Gaussian noise in communication system
What is non-Gaussian noise?What is Gaussian noise in communication?Is noise Always Gaussian?Why is Gaussian noise important? What is non-Gaussian no...
Matrix What are the possible forms of generator matrix of a systematic linear block code?
What are the possible forms of generator matrix of a systematic linear block code?
What is generator matrix in linear block code?How do you convert a generator matrix to systematic form? What is generator matrix in linear block cod...
Quantization Question on discrete signals and quantization
Question on discrete signals and quantization
Why does quantization distort a signal?What are two types of quantization errors?What is relationship between quantization levels and no of bits?Why ...