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Record process on the Continuum Random Tree
continuum random tree, records, cutting down a tree
2011/9/14
Abstract: We consider the number of cuts $X_n^*$ needed to isolate the root of the sub-tree spanned by $n$ leaves uniformly chosen at random in Aldous's continuum random tree $\ct$. We prove the almos...
Characterizations of the exponentiated Pareto distribution based on record values
Lower record values Exponentiated Pareto distribution Single
2010/9/13
In this paper, the exact form of the probability density function (pdf) and moments of single, double, triple and quadruple of lower record values from Exponentiated Pareto distribution (EPD) are deri...
Bounds on the Expectations of $k^{th}$ Record Increments
Record statistics Record increments Bounds for moments Moriguti monotone approximation
2008/7/2
Here in this paper, we establish sharp bounds on the expectations of kth record increments from general and non-negative parent distributions. We also determine the probability distributions for which...
Bounds on Expectations of Record Range and Record Increment from Distributions with Bounded Support
Record statistics Bounds for moments Monotone approximation method
2008/7/1
In this paper, we consider the record statistics at the time when the nth record of any kind (either an upper or lower) is observed based on a sequence of independent random variables with identical c...