PARAMETER ESTIMATION OF THE SHAPE PARAMETER OF THE GAMMA DISTRIBUTION FREE FROM LOCATION AND SCALE INFORMATION

2006 ◽  
Author(s):  
HIDEKI NAGATSUKA ◽  
HISASHI YAMAMOTO ◽  
TOSHINARI KAMAKURA
Keyword(s):  
Parameter Estimation ◽  
Gamma Distribution ◽  
Shape Parameter ◽  
Distribution Free

scholarly journals Bayesian Parameter Estimation of the Four-Parameter Gamma Distribution

2007 ◽  
Vol 14 (1) ◽  
pp. 255-266
Author(s):  
Mi-Ra Oh ◽  
Kyung-Sook Kim ◽  
Wan-Hyun Cho ◽  
Young-Sook Son
Keyword(s):  
Parameter Estimation ◽  
Gamma Distribution ◽  
Bayesian Parameter Estimation

On the quantiles of the gamma and F distributions

1978 ◽  
Vol 15 (2) ◽  
pp. 426-432 ◽  
Author(s):  
I. W. Saunders ◽  
P. A. P. Moran
Keyword(s):  
Gamma Distribution ◽  
Shape Parameter

We show, in the context of a neurobiological problem, that ζ a(α)−ζ a(β) increases with a, while ζ a (α)/ζ a (β) decreases with a, where 0 < β < α < 1 and ζ a (α) is the α th quantile of either the gamma distribution with shape parameter a, or a scaled F distribution with parameters 2a and 2m for any m.

scholarly journals Distribution of Myosin Attachment Times Predicted from Viscoelastic Mechanics of Striated Muscle

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Bradley M. Palmer ◽  
Yuan Wang ◽  
Mark S. Miller
Keyword(s):  
Exponential Distribution ◽  
Gamma Distribution ◽  
Shape Parameter ◽  
Striated Muscle ◽  
Scale Parameter ◽  
Viscoelastic Model ◽  
A Value ◽  
Temporal Events ◽  
Single Exponential

We demonstrate that viscoelastic mechanics of striated muscle, measured as elastic and viscous moduli, emerge directly from the myosin crossbridge attachment time,tatt, also called time-on. The distribution oftattwas modeled using a gamma distribution with shape parameter,p, and scale parameter,β. At 5 mM MgATP,βwas similar between mouseα-MyHC (16.0±3.7 ms) andβ-MyHC (17.9±2.0 ms), andpwas higher (P<0.05) forβ-MyHC (5.6±0.4no units) compared toα-MyHC (3.2±0.9). At 1 mM MgATP,papproached a value of 10 in both isoforms, butβrose only in theβ-MyHC (34.8±5.8 ms). The estimated meantatt(i.e.,pβproduct) was longer in theβ-MyHC compared toα-MyHC, and became prolonged in both isoforms as MgATP was reduced as expected. The application of our viscoelastic model to these isoforms and varying MgATP conditions suggest thattattis better modeled as a gamma distribution due to its representing multiple temporal events occurring withintattcompared to a single exponential distribution which assumes only one temporal event withintatt.

Sign in / Sign up

Export Citation Format

Share Document