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

GoGeneral Equation of Hydrologic Frequency Analysis Formula

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Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period. Check FAQs

x T = x m + K z \cdot σ n-1

x_T - Variate 'X' with a Recurrence Interval?x_m - Mean of the Variate X?K_z - Frequency Factor?σ_n-1 - Standard Deviation of the Sample of Size N?

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

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Here is how the Gumbel's Variate 'x' with Recurrence Interval for Practical Use equation looks like with Values.

Here is how the Gumbel's Variate 'x' with Recurrence Interval for Practical Use equation looks like with Units.

Here is how the Gumbel's Variate 'x' with Recurrence Interval for Practical Use equation looks like.

9.538 = 0.578 + 7 \cdot 1.28

9.538 = 0.578 + 7 \cdot 1.28

9.538 = 0.578 + 7 \cdot 1.28

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

Follow our step by step solution on how to calculate Gumbel's Variate 'x' with Recurrence Interval for Practical Use?

FIRST Step Consider the formula

x T = x m + K z \cdot σ n-1

Next Step Substitute values of Variables

∴

x T = 0.578 + 7 \cdot 1.28

Next Step Prepare to Evaluate

∴

x T = 0.578 + 7 \cdot 1.28

LAST Step Evaluate

∴

x T = 9.538

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

Variables

Variate 'X' with a Recurrence Interval

Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period.

Symbol: x_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variate 'X' with a Recurrence Interval

Mean of the Variate X

Mean of the Variate X of a random hydrologic series with a return period.

Symbol: x_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of the Variate X

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

Other Formulas to find Variate 'X' with a Recurrence Interval

Go General Equation of Hydrologic Frequency Analysis

x T = x m + K z \cdot 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 Frequency Factor as applicable to Infinite Sample Size

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

How to Evaluate Gumbel's Variate 'x' with Recurrence Interval for Practical Use?

Gumbel's Variate 'x' with Recurrence Interval for Practical Use evaluator uses Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size N to evaluate the Variate 'X' with a Recurrence Interval, The Gumbel's Variate 'x' with Recurrence Interval for Practical Use 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. Variate 'X' with a Recurrence Interval is denoted by x_T symbol.

How to evaluate Gumbel's Variate 'x' with Recurrence Interval for Practical Use using this online evaluator? To use this online evaluator for Gumbel's Variate 'x' with Recurrence Interval for Practical Use, enter Mean of the Variate X (x_m), Frequency Factor (K_z) & Standard Deviation of the Sample of Size N (σ_n-1) and hit the calculate button.

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

What is the formula to find Gumbel's Variate 'x' with Recurrence Interval for Practical Use?

The formula of Gumbel's Variate 'x' with Recurrence Interval for Practical Use is expressed as Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size N. Here is an example- 9.538 = 0.578+7*1.28.

How to calculate Gumbel's Variate 'x' with Recurrence Interval for Practical Use?

With Mean of the Variate X (x_m), Frequency Factor (K_z) & Standard Deviation of the Sample of Size N (σ_n-1) we can find Gumbel's Variate 'x' with Recurrence Interval for Practical Use using the formula - Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size N.

What are the other ways to Calculate Variate 'X' with a Recurrence Interval?

Here are the different ways to Calculate Variate 'X' with a Recurrence Interval-

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

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

​GoGeneral Equation of Hydrologic Frequency Analysis Formula

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

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

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

Other Formulas to find Variate 'X' with a Recurrence Interval

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

How to Evaluate Gumbel's Variate 'x' with Recurrence Interval for Practical Use?

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

Variable Name

GoGeneral Equation of Hydrologic Frequency Analysis Formula