Gumbel's Constant given Gumbel's Reduced Variate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge)
a = y/(Qf-Qfe)
This formula uses 4 Variables
Variables Used
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.
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.
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 Reduced Variate: 37.98 --> 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
a = y/(Qf-Qfe) --> 37.98/(20-1.08)
Evaluating ... ...
a = 2.00739957716702
STEP 3: Convert Result to Output's Unit
2.00739957716702 --> No Conversion Required
FINAL ANSWER
2.00739957716702 2.0074 <-- Gumbel's Constant
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Gumbel's Method Calculators

Gumbel's Constant given Gumbel's Reduced Variate
​ LaTeX ​ Go Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge)
Flood Discharge given Gumbel's Reduced Variate
​ LaTeX ​ Go Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge
Gumbel's Reduced Variate
​ LaTeX ​ Go Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge)
Flood Discharge Having Highest Frequency
​ LaTeX ​ Go Flood Discharge having Highest Frequency = Average Discharge-(0.45*Standard Deviation)

Gumbel's Constant given Gumbel's Reduced Variate Formula

​LaTeX ​Go
Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge)
a = y/(Qf-Qfe)

What is Flood Discharge ?

Discharge is the volume of water that passes through a given cross section per unit time, usually measured in cubic feet per second (cfs) or cubic meters per second (cms). Stage is the level of the water surface over a datum (often sea level).

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

Gumbel's Constant given Gumbel's Reduced Variate calculator uses Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge) to calculate 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 calculate Gumbel's Constant given Gumbel's Reduced Variate using this online calculator? To use this online calculator for Gumbel's Constant given Gumbel's Reduced Variate, enter Gumbel's Reduced Variate (y), Flood Discharge having Highest Frequency (Qf) & Flood Discharge (Qfe) and hit the calculate button. Here is how the Gumbel's Constant given Gumbel's Reduced Variate calculation can be explained with given input values -> 2.0074 = 37.98/(20-1.08).

FAQ

What is Gumbel's Constant given Gumbel's Reduced Variate?
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 and is represented as a = y/(Qf-Qfe) or Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge). Gumbel's Reduced Variate refers to a dimensionless value used in extreme value analysis to standardize data, aiding in the estimation of return periods, 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 Constant given Gumbel's Reduced Variate?
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 is calculated using Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge). To calculate Gumbel's Constant given Gumbel's Reduced Variate, you need Gumbel's Reduced Variate (y), Flood Discharge having Highest Frequency (Qf) & Flood Discharge (Qfe). With our tool, you need to enter the respective value for Gumbel's Reduced Variate, 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.
How many ways are there to calculate Gumbel's Constant?
In this formula, Gumbel's Constant uses Gumbel's Reduced Variate, Flood Discharge having Highest Frequency & Flood Discharge. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Gumbel's Constant = 1.28/Standard Deviation
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