Equation for Base Series of Z Variates Calculator

✖Variate 'z' of a Random Hydrologic Cycle is part of the Gumbel distribution which relates the quantiles of a hydrological random variable to their respective exceedance probabilities or return period.ⓘ Variate 'z' of a Random Hydrologic Cycle [z]

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✖Mean of Z Variates for 'x' variate of a random hydrologic cycle.ⓘ Equation for Base Series of Z Variates [z_m]

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Equation for Base Series of Z Variates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle)
z_m = log10(z)
This formula uses 1 Functions, 2 Variables

Functions Used

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., log10(Number)

Variables Used

Mean of Z Variates - Mean of Z Variates for 'x' variate of a random hydrologic cycle.
Variate 'z' of a Random Hydrologic Cycle - Variate 'z' of a Random Hydrologic Cycle is part of the Gumbel distribution which relates the quantiles of a hydrological random variable to their respective exceedance probabilities or return period.

STEP 1: Convert Input(s) to Base Unit

Variate 'z' of a Random Hydrologic Cycle: 6.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z_m = log10(z) --> log10(6.1)

Evaluating ... ...

z_m = 0.785329835010767

STEP 3: Convert Result to Output's Unit

0.785329835010767 --> No Conversion Required

FINAL ANSWER

0.785329835010767 ≈ 0.78533 <-- Mean of Z Variates

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Floods » Risk, Reliability and Log Pearson Distribution » Log Pearson Type III Distribution » Equation for Base Series of Z Variates

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Coorg Institute of Technology (CIT), Coorg

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< Log Pearson Type III Distribution Calculators

Frequency Factor given Z Series for Recurrence Interval

LaTeX Go Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample

Mean Series of Z Variates given Z Series for Recurrence Interval

LaTeX Go Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample

Equation for Z Series for any Recurrence Interval

LaTeX Go Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample

Equation for Base Series of Z Variates

LaTeX Go Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle)

Equation for Base Series of Z Variates Formula

LaTeX Go

Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle)
z_m = log10(z)

What is Log-Pearson Type III distribution?

The Log-Pearson Type III distribution is a statistical technique for fitting frequency distribution data to predict the design flood for a river at some site. Once the statistical information is calculated for the river site, a frequency distribution can be constructed.

How to Calculate Equation for Base Series of Z Variates?

Equation for Base Series of Z Variates calculator uses Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle) to calculate the Mean of Z Variates, The Equation for Base Series of Z Variates formula is defined as the base equation where the variate is transformed into logarithmic form in the Log-Pearson Type III Distribution method. Mean of Z Variates is denoted by z_m symbol.

How to calculate Equation for Base Series of Z Variates using this online calculator? To use this online calculator for Equation for Base Series of Z Variates, enter Variate 'z' of a Random Hydrologic Cycle (z) and hit the calculate button. Here is how the Equation for Base Series of Z Variates calculation can be explained with given input values -> 0.778151 = log10(6.1).

FAQ

What is Equation for Base Series of Z Variates?

The Equation for Base Series of Z Variates formula is defined as the base equation where the variate is transformed into logarithmic form in the Log-Pearson Type III Distribution method and is represented as z_m = log10(z) or Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle). Variate 'z' of a Random Hydrologic Cycle is part of the Gumbel distribution which relates the quantiles of a hydrological random variable to their respective exceedance probabilities or return period.

How to calculate Equation for Base Series of Z Variates?

The Equation for Base Series of Z Variates formula is defined as the base equation where the variate is transformed into logarithmic form in the Log-Pearson Type III Distribution method is calculated using Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle). To calculate Equation for Base Series of Z Variates, you need Variate 'z' of a Random Hydrologic Cycle (z). With our tool, you need to enter the respective value for Variate 'z' of a Random Hydrologic Cycle 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 Mean of Z Variates?

In this formula, Mean of Z Variates uses Variate 'z' of a Random Hydrologic Cycle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample

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