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Question

If $n$ is the number of years, $T$ is recurrence interval in years and $m$ is ranking of rainfall event, the recurrence interval given by Weibull formula is

The correct answer is
$T=\frac{n+1}{m}$

Weibull Formula for Recurrence Interval

The Weibull formula is used in hydrology and statistics to estimate the recurrence interval ($T$) of an extreme event, such as a specific rainfall amount.

The formula relates the recurrence interval ($T$) to the number of years of record ($n$) and the rank ($m$) of the event when the data is sorted in descending order.

The Weibull formula is expressed as:

$ T = \frac{n+1}{m} $

  • $T$ represents the recurrence interval in years.
  • $n$ is the total number of years in the data record.
  • $m$ is the rank of the rainfall event (1 for the most extreme, 2 for the second most extreme, and so on).

This formula provides an estimate of how often, on average, an event of a certain magnitude is likely to occur or be exceeded.

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