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Gumbel's Reduced Variate Formula

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Gumbel's Reduced Variate refers to a dimensionless value used in extreme value analysis to standardize data, aiding in the estimation of return periods. Check FAQs

y = a \cdot (Q f - Q fe)

y - Gumbel's Reduced Variate?a - Gumbel's Constant?Q_f - Flood Discharge having Highest Frequency?Q_fe - Flood Discharge?

Gumbel's Reduced Variate Example

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Here is how the Gumbel's Reduced Variate equation looks like with Values.

Here is how the Gumbel's Reduced Variate equation looks like with Units.

Here is how the Gumbel's Reduced Variate equation looks like.

38.0292 = 2.01 \cdot (20 - 1.08)

38.0292 = 2.01 \cdot (20m³/s - 1.08m³/s)

38.0292 = 2.01 \cdot (20 - 1.08)

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Gumbel's Reduced Variate Solution

Follow our step by step solution on how to calculate Gumbel's Reduced Variate?

FIRST Step Consider the formula

y = a \cdot (Q f - Q fe)

Next Step Substitute values of Variables

∴

y = 2.01 \cdot (20m³/s - 1.08m³/s)

Next Step Prepare to Evaluate

∴

y = 2.01 \cdot (20 - 1.08)

LAST Step Evaluate

∴

y = 38.0292

Gumbel's Reduced Variate Formula Elements

Variables

Gumbel's Reduced Variate

Gumbel's Reduced Variate refers to a dimensionless value used in extreme value analysis to standardize data, aiding in the estimation of return periods.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gumbel's Reduced Variate

Gumbel's Constant

Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gumbel's Constant

Flood Discharge having Highest Frequency

Flood Discharge having Highest Frequency refers to the flow rate of water occurring most often during flood events, indicating common flood conditions.

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Flood Discharge having Highest Frequency

Flood Discharge

Flood discharge refers to the volume of water flowing through a river or stream during a flood event, typically measured in m³/s or cfs.

Symbol: Q_fe

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Flood Discharge

Other formulas in Gumbel's Method category

Go Gumbel's Constant given Gumbel's Reduced Variate

a = \frac{y}{Q f - Q fe}

Go Flood Discharge given Gumbel's Reduced Variate

Q f = (\frac{y}{a}) + Q fe

Go Flood Discharge Having Highest Frequency

Q f = Q av - (0.45 \cdot σ)

Go Average Flood Discharge given Flood Discharge Having Highest Frequency

Q av = Q f + (0.45 \cdot σ)

How to Evaluate Gumbel's Reduced Variate?

Gumbel's Reduced Variate evaluator uses Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge) to evaluate the Gumbel's Reduced Variate, The Gumbel's Reduced Variate is defined as the value of the reduced variate when we have prior information of other parameters used. Gumbel's Reduced Variate is denoted by y symbol.

How to evaluate Gumbel's Reduced Variate using this online evaluator? To use this online evaluator for Gumbel's Reduced Variate, enter Gumbel's Constant (a), Flood Discharge having Highest Frequency (Q_f) & Flood Discharge (Q_fe) and hit the calculate button.

FAQs on Gumbel's Reduced Variate

What is the formula to find Gumbel's Reduced Variate?

The formula of Gumbel's Reduced Variate is expressed as Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge). Here is an example- 37.84 = 2.01*(20-1.08).

How to calculate Gumbel's Reduced Variate?

With Gumbel's Constant (a), Flood Discharge having Highest Frequency (Q_f) & Flood Discharge (Q_fe) we can find Gumbel's Reduced Variate using the formula - Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge).

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Gumbel's Reduced Variate Formula

Gumbel's Reduced Variate Example

Gumbel's Reduced Variate Solution

Gumbel's Reduced Variate Formula Elements

Other formulas in Gumbel's Method category

How to Evaluate Gumbel's Reduced Variate?

FAQs on Gumbel's Reduced Variate

Variable Name