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Gaussian q-distribution
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<p>In <a href="/facts/Mathematical_physics/sLKg8T1G">mathematical physics</a> and <a href="/facts/Probability/fgYvMhwb">probability</a> and <a href="/facts/Statistics/DNPsKGYU">statistics</a>, the Gaussian <i>q</i>-distribution is a family of <a href="/facts/Probability_distribution/EpsKKVRu">probability distributions</a> that includes, as <a href="/facts/Limiting_case_(mathematics)/UEehGCom">limiting cases</a>, the <a href="/facts/Uniform_distribution_(continuous)/XbnlVljT">uniform distribution</a> and the <a href="/facts/Normal_distribution/UapjjPyQ">normal (Gaussian) distribution</a>. It was introduced by Diaz and Teruel. It is a <a href="/facts/Q-analog/7jXz12AP">q-analog</a> of the Gaussian or <a href="/facts/Normal_distribution/UapjjPyQ">normal distribution</a>. </p><p>The distribution is symmetric about zero and is bounded, except for the limiting case of the normal distribution. The limiting uniform distribution is on the range -1 to +1. </p>