-
variable would not have the
memorylessness property. In contrast, let us
examine a
situation which would exhibit memorylessness.
Imagine a long hallway,...
-
definitions of the
geometric distribution,
there are also two
definitions of
memorylessness for
discrete random variables.
Expressed in
terms of
conditional probability...
-
analogue of the
geometric distribution, and it has the key
property of
being memoryless. In
addition to
being used for the
analysis of
Poisson point processes...
-
probability theory and statistics, the term
Markov property refers to the
memoryless property of a
stochastic process,
which means that its ****ure evolution...
- Law and Zipf’s Law are in
effect synonymous laws."
Doomsday argument Memorylessness Longevity escape velocity Planning fallacy Preferential attachment Survivorship...
- role such as
capacity of
channel with feedback,
capacity of
discrete memoryless networks with feedback,
gambling with
causal side information, compression...
-
distribution is the
unique continuous random variable with the
property of
memorylessness. Let W 1 , W 2 , … {\displaystyle W_{1},W_{2},\ldots } be a sequence...
-
famous Shannon lower bound (SLB),
which in the case of
squared error and
memoryless sources,
states that for
arbitrary sources with
finite differential entropy...
- {W}}\neq W\right\}.}
Theorem (Shannon, 1948): 1. For
every discrete memoryless channel, the
channel capacity,
defined in
terms of the
mutual information...
- rate of a
source of
information is the
average entropy per symbol. For
memoryless sources, this is
merely the
entropy of each symbol, while, in the most...