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Reduced Variate 'Y' for given Return Period Formula

GoReduced Variate concerning Return Period Formula

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Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur. Check FAQs

y T = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{T r}{T r - 1})))

y_T - Reduced Variate 'Y' for Return Period?T_r - Return Period?

Reduced Variate 'Y' for given Return Period Example

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Here is how the Reduced Variate 'Y' for given Return Period equation looks like with Values.

Here is how the Reduced Variate 'Y' for given Return Period equation looks like with Units.

Here is how the Reduced Variate 'Y' for given Return Period equation looks like.

5.0084 = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{150}{150 - 1})))

5.0084 = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{150}{150 - 1})))

5.0084 = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{150}{150 - 1})))

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Reduced Variate 'Y' for given Return Period Solution

Follow our step by step solution on how to calculate Reduced Variate 'Y' for given Return Period?

FIRST Step Consider the formula

y T = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{T r}{T r - 1})))

Next Step Substitute values of Variables

∴

y T = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{150}{150 - 1})))

Next Step Prepare to Evaluate

∴

y T = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{150}{150 - 1})))

Next Step Evaluate

∴

y T = 5.00837766856287

LAST Step Rounding Answer

∴

y T = 5.0084

Reduced Variate 'Y' for given Return Period Formula Elements

Variables

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Reduced Variate 'Y' for Return Period

Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur.

Symbol: y_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Variate 'Y' for Return Period

Return Period

Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Return Period

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Reduced Variate 'Y' for Return Period

Go Reduced Variate concerning Return Period

y T = - (\ln (\ln (\frac{T r}{T r - 1})))

Other formulas in Gumbel's Method for Prediction of Flood's Peak category

Go Reduced Variate 'Y' in Gumbel's Method

y = (\frac{1.285 \cdot (x T - x m)}{σ}) + 0.577

Go Frequency Factor as applicable to Infinite Sample Size

K z = \frac{y T - 0.577}{1.2825}

Go Reduced Variate for Return Period when Frequency Factor is Considered

y tf = (K z \cdot 1.2825) + 0.577

Go Frequency Factor given Variate 'x' concerning Return Period

K z = \frac{x T - x m}{σ}

How to Evaluate Reduced Variate 'Y' for given Return Period?

Reduced Variate 'Y' for given Return Period evaluator uses Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1)))) to evaluate the Reduced Variate 'Y' for Return Period, The Reduced Variate 'Y' for given Return Period formula is defined as the dimensionless variable in Gumbel's Method, one of the most widely used probability distribution functions for extreme values in hydrologic and meteorological studies for prediction of flood peaks. Reduced Variate 'Y' for Return Period is denoted by y_T symbol.

How to evaluate Reduced Variate 'Y' for given Return Period using this online evaluator? To use this online evaluator for Reduced Variate 'Y' for given Return Period, enter Return Period (T_r) and hit the calculate button.

FAQs on Reduced Variate 'Y' for given Return Period

What is the formula to find Reduced Variate 'Y' for given Return Period?

The formula of Reduced Variate 'Y' for given Return Period is expressed as Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1)))). Here is an example- 5.008378 = -(0.834+2.303*log10(log10(150/(150-1)))).

How to calculate Reduced Variate 'Y' for given Return Period?

With Return Period (T_r) we can find Reduced Variate 'Y' for given Return Period using the formula - Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1)))). This formula also uses Common Logarithm (log10) function(s).

What are the other ways to Calculate Reduced Variate 'Y' for Return Period?

Here are the different ways to Calculate Reduced Variate 'Y' for Return Period-

Reduced Variate 'Y' for Return Period=-(ln(ln(Return Period/(Return Period-1))))

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