Cumulative Distribution Function

Cumulative Distribution Function

If $(X,Y)$ is a two dimensional random variable (discrete or continuous), then $F(x,y)=p\{X\le x\,andY\le y\}$ is called the cumulative di...

Joint Probability Distribution Function

Joint Probability Distribution Function

If (X,Y) is a two dimensional random continuous variable such that \[P\left\{ x-\frac{dx}{2}\le x\le x+\frac{dx}{2},y-\frac{dy}{2}\le...

Conditional Probability Density Function

Conditional Probability Density Function

Let $X$ and $Y$ be two-dimensional random variables defined simultaneously on a sample space $S$. The joint probability function of $X$...

Advantages and disadvantages of Harmonic Mean

Advantages and disadvantages of Harmonic Mean

Advantages Harmonic mean is rigidly defined, based upon all the observations and is suitable for further mathematical t...

Advantages and disadvantages of Geometric Mean

Advantages and disadvantages of Geometric Mean

Advantages It is rigidly defined. It is based upon all the observations. It is suitable for further mathematical treatment. It is n...

Advantages and disadvantages of Mode

Advantages and disadvantages of Mode

Advantages Mode is readily comprehensible and easy to calculate. Like median, mode can be located in some cases merely by inspection.  ...

Advantages and disadvantages of Median

Advantages and disadvantages of Median

Advantages It is rigidly defined.  It is easily understood and is easy to calculate.  It is not at all affected by extreme values.  ...

Advantages and disadvantages of arithmetic mean

Advantages and disadvantages of arithmetic mean

Advantages It is rigidly defined.  It is easy to calculate and simple to follow.  It is based on all the observations.  It is determine...

Chi - square Distribution

Chi - square Distribution

The distribution of the chi-square statistic is called the chi-square distribution. In this lesson, we learn to compute the chi-square ...