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Gumbel's Constant given Gumbel's Reduced Variate Formula

GoGumbel's Constant given Standard Deviation Formula

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

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

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

Gumbel's Constant given Gumbel's Reduced Variate Example

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

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

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

2.0074 = \frac{37.98}{20 - 1.08}

2.0074 = \frac{37.98}{20m³/s - 1.08m³/s}

2.0074 = \frac{37.98}{20 - 1.08}

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Gumbel's Constant given Gumbel's Reduced Variate Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = \frac{37.98}{20m³/s - 1.08m³/s}

Next Step Prepare to Evaluate

∴

a = \frac{37.98}{20 - 1.08}

Next Step Evaluate

∴

a = 2.00739957716702

LAST Step Rounding Answer

∴

a = 2.0074

Gumbel's Constant given Gumbel's Reduced Variate Formula Elements

Variables

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

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

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 to find Gumbel's Constant

Go Gumbel's Constant given Standard Deviation

a = \frac{1.28}{σ}

Other formulas in Gumbel's Method category

Go Gumbel's Reduced Variate

y = a \cdot (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 Constant given Gumbel's Reduced Variate?

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

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

FAQs on Gumbel's Constant given Gumbel's Reduced Variate

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

The formula of Gumbel's Constant given Gumbel's Reduced Variate is expressed as Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge). Here is an example- 2.0074 = 37.98/(20-1.08).

How to calculate Gumbel's Constant given Gumbel's Reduced Variate?

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

What are the other ways to Calculate Gumbel's Constant?

Here are the different ways to Calculate Gumbel's Constant-

Gumbel's Constant=1.28/Standard Deviation

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Gumbel's Constant given Gumbel's Reduced Variate Formula

​GoGumbel's Constant given Standard Deviation Formula

Gumbel's Constant given Gumbel's Reduced Variate Example

Gumbel's Constant given Gumbel's Reduced Variate Solution

Gumbel's Constant given Gumbel's Reduced Variate Formula Elements

Other Formulas to find Gumbel's Constant

Other formulas in Gumbel's Method category

How to Evaluate Gumbel's Constant given Gumbel's Reduced Variate?

FAQs on Gumbel's Constant given Gumbel's Reduced Variate

Variable Name

GoGumbel's Constant given Standard Deviation Formula