Using Beta Distribution for Estimating Recovery Rates

Most of the people use the beta distribution to model recovery rates.

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval (0, 1) parameterized by two positive shape parameters, typically denoted by α and β.

The function for the beta distribution is as follows:

$f(x)=c.x^{a}(1-x)^{b}$

c is the normalization constant.

We can input different values of α and β to obtain different shapes of recovery rates.

The mean and standard deviation of the dataset can be used as the two parameters α and β of the beta distribution using the BETADIST() function in excel. The following graph shows four shapes of the curves based on the different values of mean and standard deviation.

This method is considered quite flexible because it only requires the mean and variance for calibration.

Beta Distribution Spreadsheet

Download the following spreadsheet to see how the distribution is arrived at. This spreadsheet shows the estimation of recovery rates using beta distribution.

Create Your Free Account

Create a free account to access this content and join our community of learners.

You'll get access to:

Access the full tutorial
Join our learning community
Track your progress
Bookmark content for later

Using Beta Distribution for Estimating Recovery Rates

Create Your Free Account

You'll get access to:

Factors Affecting Recovery Rates

Topics

Related Groups

Downloads

Estimating Recovery Rates Using Beta Distribution