Equation for Z Series for any Recurrence Interval Solution

STEP 0: Pre-Calculation Summary
Formula Used
Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample
Zt = zm+Kz*σ
This formula uses 4 Variables
Variables Used
Z Series for any Recurrence Interval - Z Series for any Recurrence Interval in Log-Pearson Type III Distribution.
Mean of Z Variates - Mean of Z Variates for 'x' variate of a random hydrologic cycle.
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
Mean of Z Variates: 0.77 --> 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
Zt = zm+Kz*σ --> 0.77+7*1.25
Evaluating ... ...
Zt = 9.52
STEP 3: Convert Result to Output's Unit
9.52 --> No Conversion Required
FINAL ANSWER
9.52 <-- Z Series for any Recurrence Interval
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Meerut Institute of Engineering and Technology (MIET), Meerut
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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 Z Series for any Recurrence Interval Formula

​LaTeX ​Go
Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample
Zt = zm+Kz*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 Equation for Z Series for any Recurrence Interval?

Equation for Z Series for any Recurrence Interval calculator uses Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample to calculate the Z Series for any Recurrence Interval, Equation for Z Series for any Recurrence Interval formula is defined as the series of Z variates of a random hydrologic series for any recurrence interval or return period T. Z Series for any Recurrence Interval is denoted by Zt symbol.

How to calculate Equation for Z Series for any Recurrence Interval using this online calculator? To use this online calculator for Equation for Z Series for any Recurrence Interval, enter Mean of Z Variates (zm), Frequency Factor (Kz) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button. Here is how the Equation for Z Series for any Recurrence Interval calculation can be explained with given input values -> 9.52 = 0.77+7*1.25.

FAQ

What is Equation for Z Series for any Recurrence Interval?
Equation for Z Series for any Recurrence Interval formula is defined as the series of Z variates of a random hydrologic series for any recurrence interval or return period T and is represented as Zt = zm+Kz or Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample. Mean of Z Variates for 'x' variate of a random hydrologic cycle, 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 Equation for Z Series for any Recurrence Interval?
Equation for Z Series for any Recurrence Interval formula is defined as the series of Z variates of a random hydrologic series for any recurrence interval or return period T is calculated using Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample. To calculate Equation for Z Series for any Recurrence Interval, you need Mean of Z Variates (zm), Frequency Factor (Kz) & Standard Deviation of the Z Variate Sample (σ). With our tool, you need to enter the respective value for Mean of Z Variates, 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.
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