{"id":9636137,"uuid":"a21b0285-18b1-4307-8736-bf02f1588865","name":"Let Your Deviation Count \u2014 Cram\u00e9r's Theorem T-Shirt (Men's Basic, light)","description":"Large deviations theory on a t-shirt \u2014 Cram\u00e9r's theorem, distilled to one line.\n\nThe sample mean of N i.i.d. draws almost never strays far from its expectation, but when it does, the probability decays exponentially in N:\n\n    P( (1\/N) sum X_i >= x ) ~ exp( -N I(x) )\n\nwhere I(x) is the rate function. Topped with the theory's famous heuristic \u2014 \"any large deviation is done in the least unlikely of all the unlikely ways\" (Frank den Hollander) \u2014 and signed off with: let your deviation count.\n\nFor probabilists, quants, statisticians, data scientists, and anyone who has ever computed a tail bound for fun.\n\nMinimal monochrome line art. Vector design \u2014 crisp at every print size.","metaTitle":"","metaDescription":"Large deviations theory on a t-shirt \u2014 Cram\u00e9r's theorem, distilled to one line.\n\nThe sample mean of N i.i.d. draws almost never strays far from its ex...","metaImage":null,"noIndex":false,"giftWrapCompatible":true,"approvalStatus":"approved","ecoIcons":["organic-icon.png","low-carbon-icon.png","ethical-icon.png"],"isBundle":false,"specifications":"Certified Organic Cotton t-shirt, 155g\/m2. Wash cool, hang dry. GM free. Not tested on animals. Does not contain animal-derived products. Printed with low waste printing tech. Made in a renewable energy powered factory audited for a wide range of social and sustainability criteria.","sizeChartId":110,"sizeCount":9,"urlName":"api-TqYEYIQDxMGDZgeLdU37RDZh","customiseIt":false,"enableAddToCart":true,"collection":null,"reviews":{"raw":[],"rating":0,"count":0,"summary":null},"lifestyleImages":[],"ugcImages":[],"videos":[],"designCrossSellData":{"enabled":true,"designFile":"https:\/\/images.podos.io\/ayx2baszvizvyy4sfuqelmve3docfsnfmiqprjezcs1tjemq.png"},"crossSellProducts":[],"options":{"White":{"colour":"White","groupColour":"White","sizes":{"XS":{"price":19,"salePrice":0},"S":{"price":19,"salePrice":0},"M":{"price":19,"salePrice":0},"L":{"price":19,"salePrice":0},"XL":{"price":19,"salePrice":0},"XXL":{"price":19,"salePrice":0},"XXXL":{"price":19,"salePrice":0},"XXXXL":{"price":19,"salePrice":0},"XXXXXL":{"price":19,"salePrice":0}},"flatImage":{"full":"https:\/\/images.podos.io\/1220812689390d4d63a9158044399f5778ce548571449b8e.png","1080":"https:\/\/images.podos.io\/1220812689390d4d63a9158044399f5778ce548571449b8e.png.png?w=1080&h=auto","640":"https:\/\/images.podos.io\/1220812689390d4d63a9158044399f5778ce548571449b8e.png.png?w=640&h=auto","480":"https:\/\/images.podos.io\/1220812689390d4d63a9158044399f5778ce548571449b8e.png.png?w=480&h=auto","120":"https:\/\/images.podos.io\/1220812689390d4d63a9158044399f5778ce548571449b8e.png.png?w=auto&h=120"},"backFlatImage":null,"additionalImages":[],"price":19,"thumbnail":{"type":"color","value":"#ffffff"}},"Athletic Grey":{"colour":"Athletic Grey","groupColour":"Grey","sizes":{"XS":{"price":19,"salePrice":0},"S":{"price":19,"salePrice":0},"M":{"price":19,"salePrice":0},"L":{"price":19,"salePrice":0},"XL":{"price":19,"salePrice":0},"XXL":{"price":19,"salePrice":0},"XXXL":{"price":19,"salePrice":0},"XXXXL":{"price":19,"salePrice":0},"XXXXXL":{"price":19,"salePrice":0}},"flatImage":{"full":"https:\/\/images.podos.io\/e95c48efd65b553b4da5970f91d2816823e212f4d3bf4d84.png","1080":"https:\/\/images.podos.io\/e95c48efd65b553b4da5970f91d2816823e212f4d3bf4d84.png.png?w=1080&h=auto","640":"https:\/\/images.podos.io\/e95c48efd65b553b4da5970f91d2816823e212f4d3bf4d84.png.png?w=640&h=auto","480":"https:\/\/images.podos.io\/e95c48efd65b553b4da5970f91d2816823e212f4d3bf4d84.png.png?w=480&h=auto","120":"https:\/\/images.podos.io\/e95c48efd65b553b4da5970f91d2816823e212f4d3bf4d84.png.png?w=auto&h=120"},"backFlatImage":null,"additionalImages":[],"price":19,"thumbnail":{"type":"color","value":"#B3B3B3"}}},"bundleItems":[],"price":19,"totalBundlePrice":0,"salePrice":0,"labels":[],"tags":[],"baseSku":"RNA1","personalizationTemplate":null,"showSaleBadge":true}