- In
probability and statistics,
memorylessness is a
property of
probability distributions. It
describes situations where previous failures or
elapsed time...
-
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...
-
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...
- 1 / 6 {\displaystyle p=1/6} . The
geometric distribution is the only
memoryless discrete probability distribution. It is the
discrete version of the same...
- of
channel inputs. In
information theory, it is
common to
start with
memoryless channels in
which the
output probability distribution only
depends on...
- role such as
capacity of
channel with feedback,
capacity of
discrete memoryless networks with feedback,
gambling with
causal side information, compression...
- 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...
- measure)
between events has an
exponential distribution,
representing a
memoryless process. In
probability theory it is
common to say a distribution, D,...
