In continuous situations, memorylessness models random phenomena, like the time between two earthquakes. The memorylessness property asserts that the...

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...

{W}}\neq W\right\}.} Theorem (Shannon, 1948): 1. For every discrete memoryless channel, the channel capacity, defined in terms of the mutual information...

famous Shannon lower bound (SLB), which in the case of squared error and memoryless sources, states that for arbitrary sources with finite differential entropy...

probability theory and statistics, the term Markov property refers to the memoryless property of a stochastic process, which means that its future evolution...

/ λ {\textstyle 1/\lambda } ). This implies that the points have the memoryless property: the existence of one point existing in a finite interval does...

| x 1 , x 2 ) {\displaystyle p(y_{1},y_{2}|x_{1},x_{2})} is the noisy memoryless channel, which is modeled by a conditional probability distribution. The...

The Kanon anime, which encompasses two television series produced by different studios and an original video animation (OVA), is based on the visual novel...

Law and Zipf’s Law are in effect synonymous laws." Doomsday argument Memorylessness Longevity escape velocity Planning fallacy Preferential attachment Survivorship...

Retrieved 30 November 2022. "Exponential Distribution | Definition | Memoryless Random Variable". www.probabilitycourse.com. Retrieved 30 November 2022...

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...

systems considered, classical or quantum, are finite-dimensional. The memoryless in the section title carries the same meaning as in classical information...

of channel inputs. In information theory, it is common to start with memoryless channels in which the output probability distribution only depends on...

process that satisfies the Markov property (sometimes characterized as "memorylessness"). In simpler terms, it is a process for which predictions can be made...

model describing a sequence of possible events The Markov property, the memoryless property of a stochastic process The Markovians, an extinct god-like species...

characteristics of the communication channel. Common channel models include memoryless models where errors occur randomly and with a certain probability, and...

surgery characterization as a work-process (repetitive, semi-repetitive or memoryless) and its effect on SD distributional shape. A most straightforward SD...

provably achieve the channel capacity for symmetric binary-input, discrete, memoryless channels (B-DMC) with polynomial dependence on the gap to capacity. Polar...

exactly as possible elsewhere in space or time. A source may be modelled as memoryless, ergodic, stationary, or stochastic, in order of increasing generality...

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...

measure) between events has an exponential distribution, representing a memoryless process. In probability theory it is common to say a distribution, D,...

excitation waveform being played at the initial source. T-symmetry Memorylessness Markov property Reversible computing David Albert on Time and Chance...

role such as capacity of channel with feedback, capacity of discrete memoryless networks with feedback, gambling with causal side information, compression...

( n , k ) {\displaystyle (n,k)} . Consequently, the block coder is a memoryless device. Under this definition codes such as turbo codes, terminated convolutional...

only on its current state and not on its past behavior, due to the memorylessness of the exponential distribution and of discrete-time Markov chains....

In probability theory, the telegraph process is a memoryless continuous-time stochastic process that shows two distinct values. It models burst noise (also...

probability distributions on the interval from 0 to ∞ on the real line, memorylessness characterizes the exponential distributions." This statement means that...

systems with an input x {\displaystyle x} and output y {\displaystyle y} . Memoryless system y ( t ) = 1 − x ( t ) cos ⁡ ( ω t ) {\displaystyle...

Law of averages Martingale (betting system) Mean reversion (finance) Memorylessness Oscar's grind Regression toward the mean Statistical regularity Problem...