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Jan 5, 2021 · We can calculate probabilities in Excel by using the PROB function, which uses the following syntax: PROB (x_range, prob_range, lower_limit, [upper_limit]) where: x_range: The range of numeric x values. prob_range: The range of probabilities associated with each x value. lower_limit: The lower limit on the value for which you want a probability.
Jul 17, 2024 · Set ‘cumulative’ to TRUE to find the cumulative probability. Step 5: Calculate Probability for Custom Functions. Lastly, you can create custom formulas to calculate probability based on your specific needs. For instance, if you’re working with a specific probability model, you can use a combination of Excel functions to tailor the ...
In this Microsoft Excel tutorial, I will show you how to do flood estimation using Gumbel's method in less than 5 minutes. Don't forget to like. Subscribe ...
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- Revit for Civil Engineers
Jun 4, 2021 · In this Microsoft Excel tutorial, I will show you how to use the two common logarithm methods of flood estimation. At the end of the video I will do a short ...
- 12 min
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- Revit for Civil Engineers
- Basic Concepts
- Interpretation of Parameters
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- Worksheet Functions
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Definition 1: The Weibull distributionhas the probability density function (pdf) for x ≥ 0. Here β > 0 is the shape parameter and α > 0 is the scaleparameter. The cumulative distribution function (cdf) is Let p = 1 – exp(-(x/α)β). Then 1 – p = exp(-(x/α)β). Taking the natural log of both sides, we get ln(1 – p) = -(x/α)β. Solving for x results in x...
If x represents “time-to-failure”, the Weibull distribution is characterized by the fact that the failure rate is proportional to a power of time, namely β – 1. Thus βcan be interpreted as follows: 1. A value of β< 1 indicates that the failure rate decreases over time. This happens if there is significant “infant mortality”. Thus, defective items f...
Key statistical properties of the Weibull distribution are: Figure 1 – Statistical properties of the Weibull distribution
Figure 2 shows how the Weibull distribution changes as values of beta vary and alpha stays fixed. Figure 2 – Chart of Weibull distribution by beta parameter
Excel Function: Excel provides the following function in support of the Weibull distribution where α andβare the parameters in Definition 1. WEIBULL.DIST(x, β, α, cum)= the pdf of the Weibull distribution f(x) when cum = FALSE and the cdfF(x) when cum= TRUE This function is not available in versions of Excel prior to Excel 2010. Instead, these vers...
Example 1: The time to failure of a very sensitive computer screen follows a Weibull distribution with α = 1,000 hours and β = .6. What is the probability that the screen will last more than 5,000 hours? What is the mean time to failure? The probability that the screen will last no more than 5,000 hours = WEIBULL.DIST(5000, .6, 1000, TRUE) = 0.9276...
Wikipedia (2012) Weibull distribution https://en.wikipedia.org/wiki/Weibull_distribution McCool, J. I. (2012) Using the Weibull distribution: reliability, modeling and inference. Wiley https://fac.ksu.edu.sa/sites/default/files/john_i._mccoolauth._using_the_weibull_distribub-ok.xyz_.pdf
Apr 27, 2023 · Gumble & Log Pearson III. Flood Frequency Analysis is a method used to estimate the probability of flood events of different magnitudes occurring at a specific location. It helps engineers and planners to design hydraulic structures and flood control measures. Two commonly used methods for flood frequency analysis are the Gumbel distribution ...
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Apr 30, 2023 · Classify the life data. Step 1: Identify the asset (s) to be analyzed Weibull Analysis can be performed on a single asset or multiple similar assets, as long as they share comparable design, function, failure modes, and failure rates. Step 2: Determine the component failure mode for the chosen asset (s) Different components have distinct ...
