instance_of identifiability
For a less technical treatment , see Parameter identification ___MASK87___ . In statistics , identifiability is a property which a ___MASK42___ must satisfy in order for precise inference to be possible . We say that the ___MASK42___ is identifiable if it is theoretically possible to learn the true value of this ___MASK42___ ' s underlying parameter after obtaining an infinite number of observations from it . Mathematically , this is equivalent to saying that different values of the parameter must generate different probability distributions of the observable variables . Usually the ___MASK42___ is identifiable only under certain technical restrictions , in which case the set of these requirements is called the identification conditions . A ___MASK42___ that fails to be identifiable is said to be non - identifiable or unidentifiable ; two or more parametrizations are observationally equivalent . In some cases , even though a ___MASK42___ is non - identifiable , it is still possible to learn the true values of a certain subset of the ___MASK42___ parameters . In this case we say that the ___MASK42___ is partially identifiable . In other cases it may be possible to learn the location of the true parameter up to a certain finite region of the parameter space , in which case the ___MASK42___ is set identifiable . Aside from strictly theoretical exploration of the ___MASK42___ properties , Identifiability can be referred to in a wider scope when a ___MASK42___ is tested with relation of experimental ___MASK97___ sets . Usually these tests of Identifiability Analysis are applied when the ___MASK42___ fitting of experimental ___MASK97___ obtained and serve the detection of non - identifiable and sloppy parameters . In ___MASK54___ , a population is a set of similar items or events which is of interest for some question or ___MASK31___ . A statistical population can be a group of actually existing objects ( e . g . the set of all stars within the Milky Way galaxy ) or a hypothetical and potentially infinite group of objects conceived as a generalization from experience ( e . g . the set of all possible hands in a game of poker ). A common aim of statistical analysis is to produce information about some chosen population . Debt , AIDS , ___MASK77___ , Africa ( ___MASK97___ ) was a multinational non - government organization founded in January 2002 in London by U2 ' s Bono along with Bobby Shriver and activists from the Jubilee 2000 Drop the Debt campaign . Analysis is the ___MASK56___ of breaking a ___MASK46___ topic or substance into smaller parts in ___MASK16___ to gain a better understanding of it . The technique has been applied in the ___MASK59___ of mathematics and logic since before Aristotle ( 384  322 B . C .), though " analysis " as a formal ___MASK100___ is a relatively recent development . An ___MASK31___ is a procedure carried out to support , refute , or validate a hypothesis . Experiments provide insight into cause - and - effect by demonstrating what outcome occurs when a particular factor is manipulated . Experiments vary greatly in ___MASK38___ and scale , but always rely on repeatable procedure and logical analysis of the results . There also exists natural experimental studies . A ___MASK92___ ( singular ) or sample ___MASK92___ is a ___MASK81___ measure of some attribute of a sample ( e . g ., its arithmetic mean value ). It is calculated by applying a function ( statistical algorithm ) to the values of the items of the sample , which are known together as a set of ___MASK97___ . ___MASK54___ is the ___MASK59___ of the collection , analysis , interpretation , presentation , and organization of ___MASK97___ . In applying statistics to , e . g ., a scientific , industrial , or social problem , it is conventional to begin with a statistical population or a statistical model process to be studied . Populations can be diverse topics such as " all people living in a country " or " every atom composing a crystal ". ___MASK54___ deals with all aspects of ___MASK97___ including the planning of ___MASK97___ collection in terms of the design of surveys and experiments . A ___MASK71___ is a class of mathematical model , which embodies a set of assumptions concerning the generation of some sample ___MASK97___ , and similar ___MASK97___ from a larger population . A ___MASK71___ represents , often in considerably idealized form , the ___MASK97___ - generating process .