Frequency Factor as applicable to Infinite Sample Size Calculator

✖Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur.ⓘ Reduced Variate 'Y' for Return Period [y_T]

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✖Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).ⓘ Frequency Factor as applicable to Infinite Sample Size [K_z]

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Frequency Factor as applicable to Infinite Sample Size Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825
K_z = (y_T-0.577)/1.2825
This formula uses 2 Variables

Variables Used

Frequency Factor - Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).
Reduced Variate 'Y' for Return Period - Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur.

STEP 1: Convert Input(s) to Base Unit

Reduced Variate 'Y' for Return Period: 4.08 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_z = (y_T-0.577)/1.2825 --> (4.08-0.577)/1.2825

Evaluating ... ...

K_z = 2.73138401559454

STEP 3: Convert Result to Output's Unit

2.73138401559454 --> No Conversion Required

FINAL ANSWER

2.73138401559454 ≈ 2.731384 <-- Frequency Factor

(Calculation completed in 00.020 seconds)

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< Gumbel's Method for Prediction of Flood's Peak Calculators

Reduced Variate 'Y' in Gumbel's Method

LaTeX Go Reduced Variate 'Y' = ((1.285*(Variate 'X' with a Recurrence Interval-Mean of the Variate X))/Standard Deviation of the Z Variate Sample)+0.577

Reduced Variate 'Y' for given Return Period

LaTeX Go Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1))))

Reduced Variate concerning Return Period

LaTeX Go Reduced Variate 'Y' for Return Period = -(ln(ln(Return Period/(Return Period-1))))

Frequency Factor as applicable to Infinite Sample Size

LaTeX Go Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825

Frequency Factor as applicable to Infinite Sample Size Formula

LaTeX Go

Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825
K_z = (y_T-0.577)/1.2825

What is Flood Frequency Analysis?

Flood frequency analysis is a technique used by hydrologists to predict flow values corresponding to specific return periods or probabilities along a river. The application of statistical frequency curves to floods was first introduced by Gumbel.

What is Peak Discharge?

In Hydrology, the term Peak Discharge stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerates and overtops the natural or artificial bank, and this might be called a flood.

How to Calculate Frequency Factor as applicable to Infinite Sample Size?

Frequency Factor as applicable to Infinite Sample Size calculator uses Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825 to calculate the Frequency Factor, The Frequency Factor as applicable to Infinite Sample Size formula is defined as the factor used to compare and relate results and attach probabilities to several sets of maximum rainfall data. K is primarily a function of the recurrence interval for a particular probability distribution. Frequency Factor is denoted by K_z symbol.

How to calculate Frequency Factor as applicable to Infinite Sample Size using this online calculator? To use this online calculator for Frequency Factor as applicable to Infinite Sample Size, enter Reduced Variate 'Y' for Return Period (y_T) and hit the calculate button. Here is how the Frequency Factor as applicable to Infinite Sample Size calculation can be explained with given input values -> 2.731384 = (4.08-0.577)/1.2825.

FAQ

What is Frequency Factor as applicable to Infinite Sample Size?

The Frequency Factor as applicable to Infinite Sample Size formula is defined as the factor used to compare and relate results and attach probabilities to several sets of maximum rainfall data. K is primarily a function of the recurrence interval for a particular probability distribution and is represented as K_z = (y_T-0.577)/1.2825 or Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825. Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur.

How to calculate Frequency Factor as applicable to Infinite Sample Size?

The Frequency Factor as applicable to Infinite Sample Size formula is defined as the factor used to compare and relate results and attach probabilities to several sets of maximum rainfall data. K is primarily a function of the recurrence interval for a particular probability distribution is calculated using Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825. To calculate Frequency Factor as applicable to Infinite Sample Size, you need Reduced Variate 'Y' for Return Period (y_T). With our tool, you need to enter the respective value for Reduced Variate 'Y' for Return Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Frequency Factor?

In this formula, Frequency Factor uses Reduced Variate 'Y' for Return Period. We can use 2 other way(s) to calculate the same, which is/are as follows -

Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample
Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation

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