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Keywords
(8)
Beta Distribution
Bivariate Distribution
confluent hypergeometric function
Gamma Distribution
gauss hypergeometric function
Independent Random Variables
Shape Parameter
Joint Probability Density Function
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Noncentral bivariate beta distribution
Noncentral bivariate beta distribution,10.1007/s003620090215y,Statistical Papers,Arjun K. Gupta,Johanna Marcela OrozcoCastañeda,Daya K. Nagar
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Noncentral bivariate beta distribution
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Citations: 4
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Arjun K. Gupta
,
Johanna Marcela OrozcoCastañeda
,
Daya K. Nagar
Let U, V and W be independent random variables, U and V having a
gamma distribution
with respective shape parameters a and b, and W having a noncentral
gamma distribution
with shape and noncentrality parameters c and δ, respectively. Define X = U/(U + W) and Y = V/(V + W). Clearly, X and Y are correlated each having a noncentral beta type 1 distribution, $${X \sim {\rm NCB1} (a,c;\delta)}$$ and $${Y \sim {\rm NCB1} (b,c;\delta)}$$ . In this article we derive the
joint probability density function
of X and Y and study its properties.
Journal:
Statistical Papers  STAT PAP
, vol. 52, no. 1, pp. 139152, 2011
DOI:
10.1007/s003620090215y
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(1)
...
10
...
Wagner BarretoSouza
,
et al.
Bivariate Kumaraswamy distribution: properties and a new method to gen...
References
(11)
A new family of positive quadrant dependent bivariate distributions
(
Citations: 19
)
C. D. Lai
,
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Journal:
Statistics & Probability Letters  STAT PROBAB LETT
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A bivariate beta distribution
(
Citations: 30
)
Ingram Olkin
,
Ruixue Liu
Journal:
Statistics & Probability Letters  STAT PROBAB LETT
, vol. 62, no. 4, pp. 407412, 2003
A note on the sampling distribution of coherence estimate for the detection of periodic signals
(
Citations: 6
)
A. M. F. L. M. de Sa
,
F. L. Miranda de Sá
Journal:
IEEE Signal Processing Letters  IEEE SIGNAL PROCESS LETT
, vol. 11, no. 3, pp. 323325, 2004
On three and five parameter bivariate beta distributions
(
Citations: 7
)
A. K. Gupta
,
C. F. Wong
Journal:
Metrika
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Some Concepts of Dependence
(
Citations: 539
)
E. L. Lehmann
Journal:
The Annals of Mathematical Statistics
, vol. 37, no. 1966, pp. 11371153, 1966
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Citations
(4)
Bivariate Kumaraswamy distribution: properties and a new method to generate bivariate classes
Wagner BarretoSouza
,
Artur J. Lemonte
Journal:
Statistics
, vol. aheadofp, no. aheadofp, pp. 122, 2012
Noncentral bimatrix variate generalised beta distributions
Jose A. DiazGarcia
,
Ramon GutierrezJaimez
Published in 2009.
Doubly noncentral singular matrix variate beta distributions
J. A. DiazGarcia
,
R. GutierrezJaimez
Published in 2009.
Comparative study of nanopores in activated carbons by HRTEM and adsorption methods
Vladimir M. Gun’ko
,
Oleksandr P. Kozynchenko
,
Stephen R. Tennison
,
Roman Leboda
,
Jadwiga SkubiszewskaZięba
,
Sergey V. Mikhalovsky
Journal:
Carbon