Repair and rehabilitation
Repair is the technical aspect of rehabilitation. It refers to the modification of a structure, partly or wholly which is damaged in appearance or serviceability. The following factors to be…
System Reliability
• In this lesson, we discuss an application of probability to predict an overall system’s reliability. • Reliability of a product is defined as the probability that the product will…
Advanced first-order second moment method (AFOSM)
Hasofer-Lind Reliability Index Hasofer and Lind proposed a modified reliability index that did not exhibit the invariance problem illustrated in Example 5.3. The “correction” is to evaluate the limit state…
First-order second moment method (FOSM)
This method is also referred to as mean value first-order second moment (MVFOSM) method, and it is based on the first order Taylor series approximation of the performance function linearized…
RELIABILITY INDEX
Reduced Variables It is convenient to convert all random variables to their “standard form;’ which is a non dimensional form of the variables. For the basic variables R and Q,…
Levels of reliability methods
There are different levels of reliability analysis, which can be used in any design methodology depending on the importance of the structure. The term 'level' is characterized by the extent…
Reliability Analysis
Reliability analysis refers to the fact that a scale should consistently reflect the construct it is measuring. There are certain times and situations where it can be useful.Statistics Solutions is the…
What is a Lognormal Distribution?
A lognormal (log-normal or Galton) distribution is a probability distribution with a normally distributed logarithm. A random variable is lognormally distributed if its logarithm is normally distributed. Skewed distributions with low mean values,…
The Poisson Distribution and Poisson Process Explained
A tragedy of statistics in most schools is how dull it’s made. Teachers spend hours wading through derivations, equations, and theorems, and, when you finally get to the best part…
Chebyshev’s Theorem
What is Chebyshev’s Theorem? Chebyshev’s theorem is used to find the proportion of observations you would expect to find within two standard deviations from the mean.Chebyshev’s Interval refers to the intervals you want to…
