The Standard Two-Sided Power Distribution and its Properties

By J. R. van Dorp, Samuel Kotz. 2002

151 citations recorded by the source corpus.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/b96fd89f27fcbfd02bff7168ca8cc0b4386e8a2d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Safety, Risk, Reliability and Quality

1. J. R. van Dorp
2. Samuel Kotz
3. Gauss Moutinho Cordeiro
4. Edwin M. M. Ortega
5. Saralees Nadarajah

In Statistics and Probability

1. J. R. van Dorp
2. Samuel Kotz
3. Donatella Vicari
4. Gauss Moutinho Cordeiro
5. Ali I. Genç
6. Edwin M. M. Ortega
7. Saralees Nadarajah
8. Morad Alizadeh

Citations in the corpus

• Two-sided generalized Topp and Leone (TS-GTL) distributions (2008, background): “Amongst these families are (1) Two-Sided Power Distributions [16], (2) Two-Sided Slope Distributions and (3) Topp and Leone Distributions.”
• A novel extension of the triangular distribution and its parameter estimation (2002, methodology): “…equation (17) together with the maximum likelihood estimator of m; m̂.a; b/ (see equation (19)), is n̂.a; b/ = − s log[M{a; b; r̂.a; b/}] : (22) van Dorp and Kotz (2002) applied the two-parameter MLE procedure above (with fixed a and b) to estimate uncertainty in 294 observed monthly…”
• Generalized trapezoidal distributions (2003, background): “We note in passing that ( ) can be taken to be a conditional Two Sided Power 0\# density (see, Van Dorp and Kotz (2002)) on truncated to (rather than the linear" # " # form in ), which results in an extension of the trapezoidal distribution (cf. ) permitting mild oscillation in the central stage.”