Reduced Variate when Frequency Factor and Standard Deviation is Considered Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean
ytf = Kz*σn-1+yn
This formula uses 4 Variables
Variables Used
Reduced Variate 'Y' with Respect to Frequency - Reduced Variate 'Y' with Respect to Frequency Factor is a transformed variable that allows for the Gumbel distribution to be used to model extreme values.
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).
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.
Reduced Mean - Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.
STEP 1: Convert Input(s) to Base Unit
Frequency Factor: 7 --> No Conversion Required
Standard Deviation of the Sample of Size N: 1.28 --> No Conversion Required
Reduced Mean: 0.577 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ytf = Kzn-1+yn --> 7*1.28+0.577
Evaluating ... ...
ytf = 9.537
STEP 3: Convert Result to Output's Unit
9.537 --> No Conversion Required
FINAL ANSWER
9.537 <-- Reduced Variate 'Y' with Respect to Frequency
(Calculation completed in 00.004 seconds)

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14 Gumbel's Method for Prediction of Flood's Peak Calculators

Reduced Variate 'Y' in Gumbel's Method
Go Reduced Variate 'Y' = ((1.285*(Variate 'X' with a Recurrence Interval-Mean of the Variate X))/Standard Deviation of the Z Variate Sample)+0.577
Reduced Variate 'Y' for given Return Period
Go Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1))))
Mean Variate given Variate 'x' with Recurrence Interval for Practical Use
Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N)
Frequency Factor given Variate 'x' concerning Return Period
Go Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample
Gumbel's Variate 'x' with Recurrence Interval for Practical Use
Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size N
General Equation of Hydrologic Frequency Analysis
Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Z Variate Sample
Mean of Variate in Flood Frequency Studies
Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample
Reduced Variate when Frequency Factor and Standard Deviation is Considered
Go Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean
Reduced Variate concerning Return Period
Go Reduced Variate 'Y' for Return Period = -(ln(ln(Return Period/(Return Period-1))))
Reduced Mean when Frequency Factor and Standard Deviation are Considered
Go Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation)
Reduced Standard Deviation when Variate and Reduced Mean is Considered
Go Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor
Frequency Factor in Gumbel's Equation for Practical Use
Go Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation
Reduced Variate for Return Period when Frequency Factor is Considered
Go Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577
Frequency Factor as applicable to Infinite Sample Size
Go Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825

Reduced Variate when Frequency Factor and Standard Deviation is Considered Formula

Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean
ytf = Kz*σn-1+yn

What is Flood Frequency Analysis?

Flood Frequency Analysis is a technique used by hydrologists to predict flow values corresponding to specific return periods or probabilities along a river. After choosing the probability distribution that best fits the annual maxima data, flood frequency curves are plotted.

What is Peak Discharge?

In Hydrology, the term Peak Discharge stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerates and overtops the natural or artificial bank, and this might be called a flood.

How to Calculate Reduced Variate when Frequency Factor and Standard Deviation is Considered?

Reduced Variate when Frequency Factor and Standard Deviation is Considered calculator uses Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean to calculate the Reduced Variate 'Y' with Respect to Frequency, The Reduced Variate when Frequency Factor and Standard Deviation is Considered 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. Reduced Variate 'Y' with Respect to Frequency is denoted by ytf symbol.

How to calculate Reduced Variate when Frequency Factor and Standard Deviation is Considered using this online calculator? To use this online calculator for Reduced Variate when Frequency Factor and Standard Deviation is Considered, enter Frequency Factor (Kz), Standard Deviation of the Sample of Size N n-1) & Reduced Mean (yn) and hit the calculate button. Here is how the Reduced Variate when Frequency Factor and Standard Deviation is Considered calculation can be explained with given input values -> 9.537 = 7*1.28+0.577.

FAQ

What is Reduced Variate when Frequency Factor and Standard Deviation is Considered?
The Reduced Variate when Frequency Factor and Standard Deviation is Considered 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 and is represented as ytf = Kzn-1+yn or Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean. 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), 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 & Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.
How to calculate Reduced Variate when Frequency Factor and Standard Deviation is Considered?
The Reduced Variate when Frequency Factor and Standard Deviation is Considered 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 is calculated using Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean. To calculate Reduced Variate when Frequency Factor and Standard Deviation is Considered, you need Frequency Factor (Kz), Standard Deviation of the Sample of Size N n-1) & Reduced Mean (yn). With our tool, you need to enter the respective value for Frequency Factor, Standard Deviation of the Sample of Size N & Reduced Mean 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 Reduced Variate 'Y' with Respect to Frequency?
In this formula, Reduced Variate 'Y' with Respect to Frequency uses Frequency Factor, Standard Deviation of the Sample of Size N & Reduced Mean. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577
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