Frequency Factor in Gumbel's Equation for Practical Use 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]			+10% -10%
✖Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.ⓘ Reduced Mean [y_n]			+10% -10%
✖Reduced Standard Deviation, a function of sample size N is a measure which shows how much variation from the mean exists in Gumbel's Distribution Table.ⓘ Reduced Standard Deviation [S_n]			+10% -10%

✖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 in Gumbel's Equation for Practical Use [K_z]

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Formula

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Frequency Factor in Gumbel's Equation for Practical Use

Formula

`"K"_{"z"} = ("y"_{"T"}-"y"_{"n"})/"S"_{"n"}`

Example

`"7.006"=("4.08"-"0.577")/"0.50"`

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Download Gumbel's Method for Prediction of Flood's Peak Formulas PDF

Frequency Factor in Gumbel's Equation for Practical Use Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation
K_z = (y_T-y_n)/S_n
This formula uses 4 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.
Reduced Mean - Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.
Reduced Standard Deviation - Reduced Standard Deviation, a function of sample size N is a measure which shows how much variation from the mean exists in Gumbel's Distribution Table.

STEP 1: Convert Input(s) to Base Unit

Reduced Variate 'Y' for Return Period: 4.08 --> No Conversion Required
Reduced Mean: 0.577 --> No Conversion Required
Reduced Standard Deviation: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_z = (y_T-y_n)/S_n --> (4.08-0.577)/0.5

Evaluating ... ...

K_z = 7.006

STEP 3: Convert Result to Output's Unit

7.006 --> No Conversion Required

FINAL ANSWER

7.006 <-- Frequency Factor

(Calculation completed in 00.004 seconds)

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< 14 Gumbel's Method for Prediction of Flood's Peak Calculators

Reduced Variate 'Y' in Gumbel's Method

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

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

Mean Variate given Variate 'x' with Recurrence Interval for Practical Use

Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N)

Frequency Factor given Variate 'x' concerning Return Period

Go Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample

Gumbel's Variate 'x' with Recurrence Interval for Practical Use

Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size N

General Equation of Hydrologic Frequency Analysis

Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Z Variate Sample

Mean of Variate in Flood Frequency Studies

Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample

Reduced Variate when Frequency Factor and Standard Deviation is Considered

Go Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean

Reduced Variate concerning Return Period

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

Reduced Mean when Frequency Factor and Standard Deviation are Considered

Go Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation)

Reduced Standard Deviation when Variate and Reduced Mean is Considered

Go Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor

Frequency Factor in Gumbel's Equation for Practical Use

Go Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation

Reduced Variate for Return Period when Frequency Factor is Considered

Go Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577

Frequency Factor as applicable to Infinite Sample Size

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

Frequency Factor in Gumbel's Equation for Practical Use Formula

Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation
K_z = (y_T-y_n)/S_n

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. After choosing the probability distribution that best fits the annual maxima data, flood frequency curves are plotted.

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 in Gumbel's Equation for Practical Use?

Frequency Factor in Gumbel's Equation for Practical Use calculator uses Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation to calculate the Frequency Factor, The Frequency Factor in Gumbel's Equation for Practical Use formula is defined as the comparison and relating results and attaching 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 in Gumbel's Equation for Practical Use using this online calculator? To use this online calculator for Frequency Factor in Gumbel's Equation for Practical Use, enter Reduced Variate 'Y' for Return Period (y_T), Reduced Mean (y_n) & Reduced Standard Deviation (S_n) and hit the calculate button. Here is how the Frequency Factor in Gumbel's Equation for Practical Use calculation can be explained with given input values -> 7.006 = (4.08-0.577)/0.5.

FAQ

What is Frequency Factor in Gumbel's Equation for Practical Use?

The Frequency Factor in Gumbel's Equation for Practical Use formula is defined as the comparison and relating results and attaching 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-y_n)/S_n or Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation. 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 Mean, a function of sample size N in Gumbel's Extreme Value distribution & Reduced Standard Deviation, a function of sample size N is a measure which shows how much variation from the mean exists in Gumbel's Distribution Table.

How to calculate Frequency Factor in Gumbel's Equation for Practical Use?

The Frequency Factor in Gumbel's Equation for Practical Use formula is defined as the comparison and relating results and attaching 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-Reduced Mean)/Reduced Standard Deviation. To calculate Frequency Factor in Gumbel's Equation for Practical Use, you need Reduced Variate 'Y' for Return Period (y_T), Reduced Mean (y_n) & Reduced Standard Deviation (S_n). With our tool, you need to enter the respective value for Reduced Variate 'Y' for Return Period, Reduced Mean & Reduced Standard Deviation 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, Reduced Mean & Reduced Standard Deviation. We can use 2 other way(s) to calculate the same, which is/are as follows -

Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825
Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample

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