probability theory, an intensity measure is a measure that is derived from a random measure. The intensity measure is a non-random measure and is defined as...

(dx)\right]^{n}} for all positive measurable functions f {\displaystyle f} . The intensity measure E ⁡ ξ {\displaystyle \operatorname {E} \xi } of a binomial process...

or, in more general settings, a Radon measure. In the first case, the constant, known as the rate or intensity, is the average density of the points in...

In the mathematical discipline of measure theory, the intensity of a measure is the average value the measure assigns to an interval of length one. Let...

geographic point. The Mercalli intensity scale uses personal reports and observations to measure earthquake intensity but PGA is measured by instruments...

intensity measure of ζ {\displaystyle \zeta } . The intensity measure exists for every random measure and is a s-finite measure. For a random measure...

(W·sr−1·m−2) Mercalli intensity scale, a measure of earthquake impact Japan Meteorological Agency seismic intensity scale, a measure of earthquake impact...

The Modified Mercalli intensity scale (MM, MMI, or MCS) measures the effects of an earthquake at a given location. This is in contrast with the seismic...

n} th moment measure. The first moment measure is the mean measure. Let S = R d {\displaystyle S=\mathbb {R} ^{d}} . The joint intensities of a point process...

An example of a moment measure is the first moment measure of a point process, often called mean measure or intensity measure, which gives the expected...

Energy intensity is a measure of the energy inefficiency of an economy. It is calculated as units of energy per unit of GDP (Gross Domestic Product) or...

variables. The first factorial moment measure of a point process coincides with its first moment measure or intensity measure, which gives the expected or average...

be some measure space with σ {\displaystyle \sigma } -finite measure μ {\displaystyle \mu } . The Poisson random measure with intensity measure μ {\displaystyle...

In photometry, luminous intensity is a measure of the wavelength-weighted power emitted by a light source in a particular direction per unit solid angle...

numerous intensities. Intensity data is collected from 4,400 observation stations equipped with "Model 95 seismic intensity meters" that measure strong...

chemical plants, electric power plants, etc. The degree of capital intensity is easy to measure in nominal terms. It is simply the ratio of the total money value...

above expectation with the intensity measure Λ {\displaystyle \Lambda } . In relation to a Borel set B the intensity measure of N {\displaystyle N} is...

original intensity measure μ {\displaystyle \mu } . Conditional on X = x {\displaystyle X=x} mixed Poisson processes have the intensity measure x μ {\displaystyle...

measuring labor intensity, Neither is superior in itself, the choice of measure depends on the specific issue of interest. However these two measures...

measure on Y {\displaystyle Y} . Then the following holds: If ξ {\displaystyle \xi } is a Poisson point process on X {\displaystyle X} with intensity...

with intensity measure E ⁡ Θ = λ ⊗ μ {\displaystyle \operatorname {E} \Theta =\lambda \otimes \mu } . Here μ {\displaystyle \mu } is a measure on ( 0...

exercise intensity defines how hard the body has to work to walk a mile in 20 minutes. Heart Rate is typically used as a measure of exercise intensity. Heart...

Several measures of light are commonly known as intensity: Radiant intensity, a radiometric quantity measured in watts per steradian (W/sr) Luminous intensity...

an earthquake. These are distinguished from seismic intensity scales that categorize the intensity or severity of ground shaking (quaking) caused by an...

countries by carbon intensity of GDP sorts countries by their emission intensity. Carbon intensity or emission intensity of GDP is a measure that evaluates...

rocks) or a high motivational intensity picture (e.g., dessert) appeared followed by the Navon letter task to measure attentional scope. Results indicated...

{\displaystyle {\mathcal {L}}(\eta \mid \xi =\mu )} is a Poisson process with intensity measure μ {\displaystyle \mu } . Here, L ( η ∣ ξ = μ ) {\displaystyle {\mathcal...

Service Data § Man-Machine Interface Modified Mercalli intensity scale, an earthquake intensity measure W3C MMI or Multimodal Interaction Activity Monolithic...

scales, which measure the magnitude or overall strength of an earthquake, which may, or perhaps may not, cause perceptible shaking. Intensity scales are...

A pain scale measures a patient's pain intensity or other features. Pain scales are a common communication tool in medical contexts, and are used in a...