Gumbel's Reduced Variate Calculator

✖Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts.ⓘ Gumbel's Constant [a]			+10% -10%
✖Flood Discharge having Highest Frequency refers to the flow rate of water occurring most often during flood events, indicating common flood conditions.ⓘ Flood Discharge having Highest Frequency [Q_f]			+10% -10%
✖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.ⓘ Flood Discharge [Q_fe]			+10% -10%

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

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Gumbel's Reduced Variate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge)
y = a*(Q_f-Q_fe)
This formula uses 4 Variables

Variables Used

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.
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.
Flood Discharge having Highest Frequency - (Measured in Cubic Meter per Second) - Flood Discharge having Highest Frequency refers to the flow rate of water occurring most often during flood events, indicating common flood conditions.
Flood Discharge - (Measured in Cubic Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Gumbel's Constant: 2.01 --> No Conversion Required
Flood Discharge having Highest Frequency: 20 Cubic Meter per Second --> 20 Cubic Meter per Second No Conversion Required
Flood Discharge: 1.08 Cubic Meter per Second --> 1.08 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = a*(Q_f-Q_fe) --> 2.01*(20-1.08)

Evaluating ... ...

y = 38.0292

STEP 3: Convert Result to Output's Unit

38.0292 --> No Conversion Required

FINAL ANSWER

38.0292 <-- Gumbel's Reduced Variate

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Gumbel's Method Calculators

Gumbel's Constant given Gumbel's Reduced Variate

Go Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge)

Flood Discharge given Gumbel's Reduced Variate

Go Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge

Gumbel's Reduced Variate

Go Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge)

Flood Discharge Having Highest Frequency

Go Flood Discharge having Highest Frequency = Average Discharge-(0.45*Standard Deviation)

Gumbel's Reduced Variate Formula

Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge)
y = a*(Q_f-Q_fe)

What is Reduced Variate ?

Because both the standard normal variate, z, and the Gumbel reduced variate, u, are functions of F, both z and u were computed with a six significant digit precision.

How to Calculate Gumbel's Reduced Variate?

Gumbel's Reduced Variate calculator uses Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge) to calculate 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 calculate Gumbel's Reduced Variate using this online calculator? To use this online calculator 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. Here is how the Gumbel's Reduced Variate calculation can be explained with given input values -> 37.84 = 2.01*(20-1.08).

FAQ

What is 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 and is represented as y = a*(Q_f-Q_fe) or Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge). Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts, Flood Discharge having Highest Frequency refers to the flow rate of water occurring most often during flood events, indicating common flood conditions & 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.

How to calculate 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 is calculated using Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge). To calculate Gumbel's Reduced Variate, you need Gumbel's Constant (a), Flood Discharge having Highest Frequency (Q_f) & Flood Discharge (Q_fe). With our tool, you need to enter the respective value for Gumbel's Constant, Flood Discharge having Highest Frequency & Flood Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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