Where f(x) = lambda* exp(-lambda*x), Inverse cumulative distribution= -ln(1-p)/lambda. See http://en.wikipedia.org/wiki/Exponential_distribution Note that if used in random number generation, with "x" equal to the random deviate, then given U ~ uniform(0,1), then x = -ln(U)/lambda.
rooting?
That is now question, stupid!
The INVERSE of any relation is obtained by switching the coordinates in each ordered pair.
Disadvantages: 1. requires a closed form expression for F(x) 2. speed ... often very slow because a number of comparisons required Advantages: Inverse transform method preserves monotonicity and correlation which helps in 1. Variance reduction methods ... 2. Generating truncated distributions ... 3. Order statistics ...
Well, it's a non-linear relationship. It could be inverse, or quadratic, or many other things.
No. The inverse of an exponential function is a logarithmic function.
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
The inverse function of the exponential is the logarithm.
Yes.
Logarithmic equation
One is the inverse of the other, just like the arc-sine is the inverse of the sine, or division is the inverse of multiplication.
Logarithmic Function
The "e distribution," often referred to in statistics, typically pertains to the exponential distribution, which models the time between events in a Poisson process. It is characterized by its probability density function, which decreases exponentially, indicating that events are less likely to occur as time increases. The exponential distribution is defined by a single parameter, the rate (λ), which is the inverse of the mean. Common applications include modeling waiting times, decay processes, and reliability analysis.
An exponential function is of the form y = a^x, where a is a constant. The inverse of this is x = a^y --> y = ln(x)/ln(a), where ln() means the natural log.
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
b^x In general the log and the exponential are inverses.
Exponential, trigonometric, algebraic fractions, inverse etc are all examples.