scholarly journals Estimation and Prediction for the Poisson-Exponential Distribution Based on Records and Inter-Record Times: A Comparative Study

2022 ◽  
Vol 15 (2) ◽  
pp. 381-405
Author(s):  
Firozeh Bastan ◽  
Seyed Mohamad Taghi Kamel MirMostafaee ◽  
◽  
2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Grine Azedine

We consider a sequence(Xi,Yi)1⩽i⩽nof independent and identically distributed random variables with joint cumulative distribution H(x,y), which has exponential marginalsF(x)andG(y)with parameterλ=1. We also assume thatXi(ω)≠Yi(ω),∀i∈N, andω∈Ω. We denoteRk(j)k⩾1andSk(j)k⩾1by the sequences of thejth records in the sequences(Xi)1⩽i⩽n,(Yi)1⩽i⩽n, respectively. The main result of of the paper is to prove the asymptotic independence ofRk(j)k⩾1andSk(j)k⩾1using the property of stopping time of thejth record times and that of the exponential distribution.


2018 ◽  
Vol 38 (1) ◽  
pp. 96-115 ◽  
Author(s):  
R. Arabi Belaghi ◽  
Mehri Noori Asl ◽  
Ozlem Gurunlu Alma ◽  
Sukhdev Singh ◽  
Mahdi Vasfi

2016 ◽  
Vol 32 ◽  
pp. 185-202 ◽  
Author(s):  
Sanku Dey ◽  
Sukhdev Singh ◽  
Yogesh Mani Tripathi ◽  
A. Asgharzadeh

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