Mean Series of Z Variates given Z Series for Recurrence Interval Calculator

✖Z Series for any Recurrence Interval in Log-Pearson Type III Distribution.ⓘ Z Series for any Recurrence Interval [Z_t]			+10% -10%
✖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).ⓘ Frequency Factor [K_z]			+10% -10%
✖Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.ⓘ Standard Deviation of the Z Variate Sample [σ]			+10% -10%

✖Mean of Z Variates for 'x' variate of a random hydrologic cycle.ⓘ Mean Series of Z Variates given Z Series for Recurrence Interval [z_m]

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Mean Series of Z Variates given Z Series for Recurrence Interval Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample
z_m = Z_t-K_z*σ
This formula uses 4 Variables

Variables Used

Mean of Z Variates - Mean of Z Variates for 'x' variate of a random hydrologic cycle.
Z Series for any Recurrence Interval - Z Series for any Recurrence Interval in Log-Pearson Type III Distribution.
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 Z Variate Sample - Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.

STEP 1: Convert Input(s) to Base Unit

Z Series for any Recurrence Interval: 9.5 --> No Conversion Required
Frequency Factor: 7 --> No Conversion Required
Standard Deviation of the Z Variate Sample: 1.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z_m = Z_t-K_z*σ --> 9.5-7*1.25

Evaluating ... ...

z_m = 0.75

STEP 3: Convert Result to Output's Unit

0.75 --> No Conversion Required

FINAL ANSWER

0.75 <-- Mean of Z Variates

(Calculation completed in 00.004 seconds)

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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)

Mean Series of Z Variates given Z Series for Recurrence Interval Formula

LaTeX Go

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

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 Mean Series of Z Variates given Z Series for Recurrence Interval?

Mean Series of Z Variates given Z Series for Recurrence Interval calculator uses Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample to calculate the Mean of Z Variates, The Mean Series of Z Variates given Z Series for Recurrence Interval formula is defined as the series of Z variates of a random hydrologic series for any recurrence interval or return period T in Log-Pearson Type III Distribution. Mean of Z Variates is denoted by z_m symbol.

How to calculate Mean Series of Z Variates given Z Series for Recurrence Interval using this online calculator? To use this online calculator for Mean Series of Z Variates given Z Series for Recurrence Interval, enter Z Series for any Recurrence Interval (Z_t), Frequency Factor (K_z) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button. Here is how the Mean Series of Z Variates given Z Series for Recurrence Interval calculation can be explained with given input values -> 0.75 = 9.5-7*1.25.

FAQ

What is Mean Series of Z Variates given Z Series for Recurrence Interval?

The Mean Series of Z Variates given Z Series for Recurrence Interval formula is defined as the series of Z variates of a random hydrologic series for any recurrence interval or return period T in Log-Pearson Type III Distribution and is represented as z_m = Z_t-K_z*σ or Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample. Z Series for any Recurrence Interval in Log-Pearson Type III Distribution, 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 Z Variate Sample follows a certain probability distribution of a hydrologic model.

How to calculate Mean Series of Z Variates given Z Series for Recurrence Interval?

The Mean Series of Z Variates given Z Series for Recurrence Interval formula is defined as the series of Z variates of a random hydrologic series for any recurrence interval or return period T in Log-Pearson Type III Distribution is calculated using Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample. To calculate Mean Series of Z Variates given Z Series for Recurrence Interval, you need Z Series for any Recurrence Interval (Z_t), Frequency Factor (K_z) & Standard Deviation of the Z Variate Sample (σ). With our tool, you need to enter the respective value for Z Series for any Recurrence Interval, Frequency Factor & Standard Deviation of the Z Variate Sample 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 Z Series for any Recurrence Interval, Frequency Factor & Standard Deviation of the Z Variate Sample. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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