 8.4.1.1: Consider a variation of the twostate availability model (Example 8...
 8.4.1.2: Consider another variation of the twostate availability model wher...
 8.4.1.3: Show that the equivalent repair rate eq for the availability model ...
 8.4.1.4: In the twocomponent availability model of Figure 8.27, we assumed ...
 8.4.1.5: For the parallel redundant system with nonzero detection delay (Ex...
 8.4.1.6: For the WFS example, plot the steadystate, instantaneous, and inte...
 8.4.1.7: For the preventive maintenance problem (Example 8.20), derive an ex...
 8.4.1.8: Consider an approximation for the CTMC model of Example 8.21 where ...
Solutions for Chapter 8.4.1: Availability Models
Full solutions for Probability and Statistics with Reliability, Queuing, and Computer Science Applications  2nd Edition
ISBN: 9781119285427
Solutions for Chapter 8.4.1: Availability Models
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 8 problems in chapter 8.4.1: Availability Models have been answered, more than 1023 students have viewed full stepbystep solutions from this chapter. Chapter 8.4.1: Availability Models includes 8 full stepbystep solutions. Probability and Statistics with Reliability, Queuing, and Computer Science Applications was written by Patricia and is associated to the ISBN: 9781119285427. This textbook survival guide was created for the textbook: Probability and Statistics with Reliability, Queuing, and Computer Science Applications , edition: 2.

2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

`error (or `risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).

Attribute
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.

Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.

Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability

Backward elimination
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain

C chart
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defectsperunit or U chart.

Causal variable
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable

Chance cause
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

Chisquare test
Any test of signiicance based on the chisquare distribution. The most common chisquare tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

Covariance matrix
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the offdiagonal elements are the covariances between Xi and Xj . Also called the variancecovariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

Deming
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.

Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality

Enumerative study
A study in which a sample from a population is used to make inference to the population. See Analytic study

Error of estimation
The difference between an estimated value and the true value.

Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

Error variance
The variance of an error term or component in a model.

Experiment
A series of tests in which changes are made to the system under study

Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.

Fraction defective
In statistical quality control, that portion of a number of units or the output of a process that is defective.
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