The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

Abstract: An exact closed-form expression is developed for the probability density function (PDF) of the sum of independent but not necessarily identically distributed Nakagami-m random variables. By ...

Abstract: In probability theory, variance is a device to measure dispersion of random variable from its mean. In order to explain complex uncertain random variable,variance and pseudo-variance are ...

James Chen, CMT is an expert trader, investment adviser, and global market strategist. Khadija Khartit is a strategy, investment, and funding expert, and an educator of fintech and strategic finance ...

Where \(X\) is a normally distributed random variable with mean \(\mu\) and standard deviation \(\sigma\). The peak of the curve occurs at \(x=\mu\), and the spread ...