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Equation for Z Series for any Recurrence Interval Formula

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Z Series for any Recurrence Interval in Log-Pearson Type III Distribution. Check FAQs

Z t = z m + K z \cdot σ

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

Equation for Z Series for any Recurrence Interval Example

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Here is how the Equation for Z Series for any Recurrence Interval equation looks like with Values.

Here is how the Equation for Z Series for any Recurrence Interval equation looks like with Units.

Here is how the Equation for Z Series for any Recurrence Interval equation looks like.

9.52 = 0.77 + 7 \cdot 1.25

9.52 = 0.77 + 7 \cdot 1.25

9.52 = 0.77 + 7 \cdot 1.25

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Equation for Z Series for any Recurrence Interval Solution

Follow our step by step solution on how to calculate Equation for Z Series for any Recurrence Interval?

FIRST Step Consider the formula

Z t = z m + K z \cdot σ

Next Step Substitute values of Variables

∴

Z t = 0.77 + 7 \cdot 1.25

Next Step Prepare to Evaluate

∴

Z t = 0.77 + 7 \cdot 1.25

LAST Step Evaluate

∴

Z t = 9.52

Equation for Z Series for any Recurrence Interval Formula Elements

Variables

Z Series for any Recurrence Interval

Z Series for any Recurrence Interval in Log-Pearson Type III Distribution.

Symbol: Z_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Z Series for any Recurrence Interval

Mean of Z Variates

Mean of Z Variates for 'x' variate of a random hydrologic cycle.

Symbol: z_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of Z Variates

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).

Symbol: K_z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Frequency Factor

Standard Deviation of the Z Variate Sample

Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of the Z Variate Sample

Other formulas in Log Pearson Type III Distribution category

Go Equation for Base Series of Z Variates

z m = \log 10 (z)

Go Frequency Factor given Z Series for Recurrence Interval

K z = \frac{Z t - z m}{σ}

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

z m = Z t - K z \cdot σ

Go Adjusted Coefficient of Skew

C' s = C s \cdot (\frac{1 + 8.5}{N})

How to Evaluate Equation for Z Series for any Recurrence Interval?

Equation for Z Series for any Recurrence Interval evaluator uses Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample to evaluate 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 Z_t symbol.

How to evaluate Equation for Z Series for any Recurrence Interval using this online evaluator? To use this online evaluator for Equation for Z Series for any Recurrence Interval, enter Mean of Z Variates (z_m), Frequency Factor (K_z) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button.

FAQs on Equation for Z Series for any Recurrence Interval

What is the formula to find Equation for Z Series for any Recurrence Interval?

The formula of Equation for Z Series for any Recurrence Interval is expressed as Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample. Here is an example- 9.52 = 0.77+7*1.25.

How to calculate Equation for Z Series for any Recurrence Interval?

With Mean of Z Variates (z_m), Frequency Factor (K_z) & Standard Deviation of the Z Variate Sample (σ) we can find Equation for Z Series for any Recurrence Interval using the formula - Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample.

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Equation for Z Series for any Recurrence Interval Formula

Equation for Z Series for any Recurrence Interval Example

Equation for Z Series for any Recurrence Interval Solution

Equation for Z Series for any Recurrence Interval Formula Elements

Other formulas in Log Pearson Type III Distribution category

How to Evaluate Equation for Z Series for any Recurrence Interval?

FAQs on Equation for Z Series for any Recurrence Interval

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