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Frequency Factor in Gumbel's Equation for Practical Use Formula

GoFrequency Factor as applicable to Infinite Sample Size Formula

GoFrequency Factor given Variate 'x' concerning Return Period Formula

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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). Check FAQs

K z = \frac{y T - y n}{S n}

K_z - Frequency Factor?y_T - Reduced Variate 'Y' for Return Period?y_n - Reduced Mean?S_n - Reduced Standard Deviation?

Frequency Factor in Gumbel's Equation for Practical Use Example

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Here is how the Frequency Factor in Gumbel's Equation for Practical Use equation looks like with Values.

Here is how the Frequency Factor in Gumbel's Equation for Practical Use equation looks like with Units.

Here is how the Frequency Factor in Gumbel's Equation for Practical Use equation looks like.

7.006 = \frac{4.08 - 0.577}{0.5}

7.006 = \frac{4.08 - 0.577}{0.5}

7.006 = \frac{4.08 - 0.577}{0.5}

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Frequency Factor in Gumbel's Equation for Practical Use Solution

Follow our step by step solution on how to calculate Frequency Factor in Gumbel's Equation for Practical Use?

FIRST Step Consider the formula

K z = \frac{y T - y n}{S n}

Next Step Substitute values of Variables

∴

K z = \frac{4.08 - 0.577}{0.5}

Next Step Prepare to Evaluate

∴

K z = \frac{4.08 - 0.577}{0.5}

LAST Step Evaluate

∴

K z = 7.006

Frequency Factor in Gumbel's Equation for Practical Use Formula Elements

Variables

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).

Symbol: K_z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Frequency Factor

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.

Symbol: y_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Variate 'Y' for Return Period

Reduced Mean

Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.

Symbol: y_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Mean

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.

Symbol: S_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Standard Deviation

Other Formulas to find Frequency Factor

Go Frequency Factor as applicable to Infinite Sample Size

K z = \frac{y T - 0.577}{1.2825}

Go Frequency Factor given Variate 'x' concerning Return Period

K z = \frac{x T - x m}{σ}

Other formulas in Gumbel's Method for Prediction of Flood's Peak category

Go Reduced Variate 'Y' in Gumbel's Method

y = (\frac{1.285 \cdot (x T - x m)}{σ}) + 0.577

Go Reduced Variate concerning Return Period

y T = - (\ln (\ln (\frac{T r}{T r - 1})))

Go Reduced Variate 'Y' for given Return Period

y T = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{T r}{T r - 1})))

Go Reduced Variate for Return Period when Frequency Factor is Considered

y tf = (K z \cdot 1.2825) + 0.577

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

Frequency Factor in Gumbel's Equation for Practical Use evaluator uses Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation to evaluate 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 evaluate Frequency Factor in Gumbel's Equation for Practical Use using this online evaluator? To use this online evaluator 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.

FAQs on Frequency Factor in Gumbel's Equation for Practical Use

What is the formula to find Frequency Factor in Gumbel's Equation for Practical Use?

The formula of Frequency Factor in Gumbel's Equation for Practical Use is expressed as Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation. Here is an example- 7.006 = (4.08-0.577)/0.5.

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

With Reduced Variate 'Y' for Return Period (y_T), Reduced Mean (y_n) & Reduced Standard Deviation (S_n) we can find Frequency Factor in Gumbel's Equation for Practical Use using the formula - Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation.

What are the other ways to Calculate Frequency Factor?

Here are the different ways to Calculate Frequency Factor-

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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Frequency Factor in Gumbel's Equation for Practical Use Formula

​GoFrequency Factor as applicable to Infinite Sample Size Formula

​GoFrequency Factor given Variate 'x' concerning Return Period Formula

Frequency Factor in Gumbel's Equation for Practical Use Example

Frequency Factor in Gumbel's Equation for Practical Use Solution

Frequency Factor in Gumbel's Equation for Practical Use Formula Elements

Other Formulas to find Frequency Factor

Other formulas in Gumbel's Method for Prediction of Flood's Peak category

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

FAQs on Frequency Factor in Gumbel's Equation for Practical Use

Variable Name

GoFrequency Factor as applicable to Infinite Sample Size Formula

GoFrequency Factor given Variate 'x' concerning Return Period Formula