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Reduced Variate when Frequency Factor and Standard Deviation is Considered Formula

GoReduced Variate for Return Period when Frequency Factor is Considered Formula

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Reduced Variate 'Y' with Respect to Frequency Factor is a transformed variable that allows for the Gumbel distribution to be used to model extreme values. Check FAQs

y tf = K z \cdot σ n-1 + y n

y_tf - Reduced Variate 'Y' with Respect to Frequency?K_z - Frequency Factor?σ_n-1 - Standard Deviation of the Sample of Size N?y_n - Reduced Mean?

Reduced Variate when Frequency Factor and Standard Deviation is Considered Example

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Here is how the Reduced Variate when Frequency Factor and Standard Deviation is Considered equation looks like with Values.

Here is how the Reduced Variate when Frequency Factor and Standard Deviation is Considered equation looks like with Units.

Here is how the Reduced Variate when Frequency Factor and Standard Deviation is Considered equation looks like.

9.537 = 7 \cdot 1.28 + 0.577

9.537 = 7 \cdot 1.28 + 0.577

9.537 = 7 \cdot 1.28 + 0.577

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Reduced Variate when Frequency Factor and Standard Deviation is Considered Solution

Follow our step by step solution on how to calculate Reduced Variate when Frequency Factor and Standard Deviation is Considered?

FIRST Step Consider the formula

y tf = K z \cdot σ n-1 + y n

Next Step Substitute values of Variables

∴

y tf = 7 \cdot 1.28 + 0.577

Next Step Prepare to Evaluate

∴

y tf = 7 \cdot 1.28 + 0.577

LAST Step Evaluate

∴

y tf = 9.537

Reduced Variate when Frequency Factor and Standard Deviation is Considered Formula Elements

Variables

Reduced Variate 'Y' with Respect to Frequency

Reduced Variate 'Y' with Respect to Frequency Factor is a transformed variable that allows for the Gumbel distribution to be used to model extreme values.

Symbol: y_tf

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Variate 'Y' with Respect to Frequency

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

Standard Deviation of the Sample of Size N

Standard Deviation of the Sample of Size N is the quantity expressed by how much it differs from the mean value for the group and also the square root of its variance.

Symbol: σ_n-1

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Deviation of the Sample of Size N

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

Other Formulas to find Reduced Variate 'Y' with Respect to Frequency

Go Reduced Variate for Return Period when Frequency Factor is Considered

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

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 Frequency Factor as applicable to Infinite Sample Size

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

How to Evaluate Reduced Variate when Frequency Factor and Standard Deviation is Considered?

Reduced Variate when Frequency Factor and Standard Deviation is Considered evaluator uses Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean to evaluate the Reduced Variate 'Y' with Respect to Frequency, The Reduced Variate when Frequency Factor and Standard Deviation is Considered formula is defined as a dimensionless variable in Gumbel's method, the most widely used probability distribution's function values for extreme hydrologic and meteorological studies for prediction of flood peaks. Reduced Variate 'Y' with Respect to Frequency is denoted by y_tf symbol.

How to evaluate Reduced Variate when Frequency Factor and Standard Deviation is Considered using this online evaluator? To use this online evaluator for Reduced Variate when Frequency Factor and Standard Deviation is Considered, enter Frequency Factor (K_z), Standard Deviation of the Sample of Size N (σ_n-1) & Reduced Mean (y_n) and hit the calculate button.

FAQs on Reduced Variate when Frequency Factor and Standard Deviation is Considered

What is the formula to find Reduced Variate when Frequency Factor and Standard Deviation is Considered?

The formula of Reduced Variate when Frequency Factor and Standard Deviation is Considered is expressed as Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean. Here is an example- 9.537 = 7*1.28+0.577.

How to calculate Reduced Variate when Frequency Factor and Standard Deviation is Considered?

With Frequency Factor (K_z), Standard Deviation of the Sample of Size N (σ_n-1) & Reduced Mean (y_n) we can find Reduced Variate when Frequency Factor and Standard Deviation is Considered using the formula - Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean.

What are the other ways to Calculate Reduced Variate 'Y' with Respect to Frequency?

Here are the different ways to Calculate Reduced Variate 'Y' with Respect to Frequency-

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

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Reduced Variate when Frequency Factor and Standard Deviation is Considered Formula

​GoReduced Variate for Return Period when Frequency Factor is Considered Formula

Reduced Variate when Frequency Factor and Standard Deviation is Considered Example

Reduced Variate when Frequency Factor and Standard Deviation is Considered Solution

Reduced Variate when Frequency Factor and Standard Deviation is Considered Formula Elements

Other Formulas to find Reduced Variate 'Y' with Respect to Frequency

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

How to Evaluate Reduced Variate when Frequency Factor and Standard Deviation is Considered?

FAQs on Reduced Variate when Frequency Factor and Standard Deviation is Considered

Variable Name

GoReduced Variate for Return Period when Frequency Factor is Considered Formula