Problem 57605. Determine flows of given probability using empirical frequency analysis

Created by ChrisR

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function that takes as input </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> observations of peak streamflow </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Qo\"/></w:customXmlPr><w:r><w:t>Q_o</w:t></w:r></w:customXml><w:r><w:t> and exceedance probabilities </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"p1\"/></w:customXmlPr><w:r><w:t>p_1</w:t></w:r></w:customXml><w:r><w:t> expressed as percentages and returns the flows </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Q1\"/></w:customXmlPr><w:r><w:t>Q_1</w:t></w:r></w:customXml><w:r><w:t> corresponding to the probabilities. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use the empirical method of frequency analysis. Sort the observed flows in decreasing order and assign a rank </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"m\"/></w:customXmlPr><w:r><w:t>m</w:t></w:r></w:customXml><w:r><w:t> (e.g., the highest flow has </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"m = 1\"/></w:customXmlPr><w:r><w:t>m = 1</w:t></w:r></w:customXml><w:r><w:t>). If a flow occurs multiple times, assign to that flow the average of the ranks attached to the multiple occurrences. Then compute the exceedance probabilities (in percent) with </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"p = 100m/(n+1)\"/></w:customXmlPr><w:r><w:t>p = 100 m /(n+1)</w:t></w:r></w:customXml><w:r><w:t>. Compute the flows corresponding to the requested exceedance probabilities with linear interpolation and return </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>NaN</w:t></w:r><w:r><w:t> for any probabilities that fall outside the range. </w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 158px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 79px; transform-origin: 407px 79px; vertical-align: baseline; "><div style="block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.158px 8px; transform-origin: 109.158px 8px; unicode-bidi: normal; ">Write a function that takes as input n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.242px 8px; transform-origin: 104.242px 8px; unicode-bidi: normal; "> observations of peak streamflow <img src="data:image/png;base64,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" alt="Qo" style="width: 19px; height: 20px;" width="19" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5417px 8px; transform-origin: 94.5417px 8px; unicode-bidi: normal; "> and exceedance probabilities <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAAB8UlEQVRYR+1WuUoFMRR97wtEtLQQrQQLC8VGS/dKENQfcCstFBRLFf0Al87GDSxsFMXuKYJbYa9+gesX6DlyAyEkeZPM8KaZgUPMJLnn3pMz11cu5fiUc+QuFeS5qF/IXsheUwUKw9VUbkXmk70Bm9qAJqAO2JVDwxjb5e9bjDexmdvIWxBsDJgCWiXwNsYDYA/4AuqNtRXMP0KT8FXeg2DXEvAYYyfQD7zJuxctgd4YBXzk0wi4I0SPGAeN6hYw35D1RYybWVZ+hGDjErAD47MRXCdfw9pyluS/EuxSqjZj6+STWGSy5kPT0rBm4v/7XLLr9z2DfcrpevALTAY8yvDa1gGa1aqKi3wVB5YkMB2vTKbIWdG7TOiHLi0rJj4E0Jw0qfNKXOQPctAluW7GEew9t0iuriWIXK/K5mKu3wFUhJ/ghIWYr6LI2cHOJKDt+93C2izwCnQDruYSRa6Ck7/RCM4qDxMQR1eudy5lNko9D9CESRtKcOXs65STD832BPwAzUAFuPLIbF59MLnu4qh+rWUQTK631LS/coLJP5E5/126vm9TWt88iFxvqUlNlQk53bwPqF6dBbn6ZNnb52xZ8l7VLxfb+glemn29mvSM1weMysZvjKfAvRkrramqJeJdL8hTyRd7uJA9VrlU5/4AFsRpKUVbSz0AAAAASUVORK5CYII=" alt="p1" style="width: 15.5px; height: 20px;" width="15.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.5083px 8px; transform-origin: 45.5083px 8px; unicode-bidi: normal; "> expressed as percentages and returns the flows <img src="data:image/png;base64,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" alt="Q1" style="width: 19px; height: 20px;" width="19" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 108.925px 8px; transform-origin: 108.925px 8px; unicode-bidi: normal; "> corresponding to the probabilities. </div><div style="block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 345.033px 8px; transform-origin: 345.033px 8px; unicode-bidi: normal; ">Use the empirical method of frequency analysis. Sort the observed flows in decreasing order and assign a rank m<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.4917px 8px; transform-origin: 31.4917px 8px; unicode-bidi: normal; "> (e.g., the highest flow has <img src="data:image/png;base64,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" alt="m = 1" style="width: 40px; height: 18px;" width="40" height="18"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.142px 8px; transform-origin: 311.142px 8px; unicode-bidi: normal; ">). If a flow occurs multiple times, assign to that flow the average of the ranks attached to the multiple occurrences. Then compute the exceedance probabilities (in percent) with <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOYAAAAlCAYAAABWFpWhAAAJDElEQVR4Xu2cx6snRRDH3/4BYrwZWAwHQVGMIOrBg4qCeDC7N8UIHhRdIx7M6SJGUHgHIyqIuKIIHlQEI4qCB8PBgycj/gFan7dTbNF2qJ6Z95v5vV8PFLvvNx2qq+tbXVXdPdvW2tMk0CQwOwlsmx1HjaEmgSaBtQbMpgRNAjOUQAPmDCdlhiw9JTw9KvTzDHnbkiw1YG7JaR11UMdIa18LHeYEJuUvErpjVC6Wu7FbhP1PhD72DqMB0yup1S13XwfKSxwiAJQPCV0u9Luj/KoU2V8G+qTQm0KveAbdgLlHSghvb+eqoLWoc2T3x/eVyjikrmduxyrzozR0p0OhAOUbQidXymEsPqdsh7F/U2CA+X5X6G6hd0rMNmCurSGwK4RuFbpN6NmS0OT9qZ2yUve1DtDXyr9PCz1fAPeQug7WRi1yjrS2S+iAAtiQw6dCN3iUblQOp20ML+JeoS+EPB7FoV3ZEwo6svJZWXx/ALlvN7/XOIDJBLws9J6Qddk0FvtTfk8JfkjdKVSQpA/PdYXOKYfSnT0FkxP0icF6XIi4m+dVJzApi86dUZLVqq6YKBGr5LdCpwux2vGUgKngo+yxQqH7gtCJsbCgJwYKM6TuBLq30eUfQjuEcq4XsvxJ6DQhd3JjqgGN0C8x9y9dO890/9YAE+/iN6FLhZLx5qoC084PruVHTmASI5yVAB5NqJLy/xDkQ+qOoE/VTbC6sxLuV6hJGYxQaIiqOxy5ghrJGtDUsvBvD2BSpSizBszd8aIHmHbFu1/qpLYDSJbg4thVc0jdWmUZqzzWnJUwt+2h1n+nlHt4rI5HamfOwNTYPeZ1bQy/AdMPTFyY2zulybkhKPTFXTnd+xtSdyQ9rWpGAZdUnK41jZnn6MbOGZhFg+YFpqb2D5IJYUtBM5cg/6hukqo2UKvUZHMLe1dMdUXhJqewqhCUUwAPqRsbPTzb7Rmdn3/k9zDuzb1LSfZqeXGz0OEF0eOSEZ979Uibw+XnsSeJ8Cr2CsY1ZObnDEzGhWcFRRNmJYEiwAuErhLSDBRbAi8JrQuRgSSjad/dJX97N5dRsKFPTBlr2vQCk0SIZm+9wFSXd0hdnYPjpH+yvciajLBOqDUEjPtcIU3WALAHOr6Zq/OEPAmaz6Xcc0KlrSMMzklCpTgUPg4ROl6IGJ1HZYj817tx8TshAGPz6lBqrucOzKzsSsDUQVvlJZhGQc4UUouncRXla9waDZ5TwvX8PjS49wLT8uoFpvI2pK7KwAJQYzrdpiB1z34jjxoD3jFHHA5ge8e+y8lVE1ieI3iMyxqJVLushgcaHoldWY01wcR2zPlCGgJY4+LRgViZuQNTQ54oBr3AxOJpajhm0WJK4xEoVmPo84E0MCTxUAtMVp7cChEaMZRPgdmnrsrHzgGGgb/hg/Y1ZqEs7vPRQgArfFfaDqI+8TArm2dP0gtM2rU8Yli+E8Kg6Ekhq0Meo1DSm7kDU/mLGnkvMG1CI7d/h7ByGcuSMKd43weYRwijKVdLM26MJVwxAWZtXZWJxnO08aAQrq2eNgnHcKW80+0Ly08pmUNf3iN4lK0BpuWDFfEFIXsQQ3Ustgcc0wt7pDH2/jL5kfiXFZ3TOannV3nR99ZM3+0SeFFgRj1MLzCVgZTbEkt4TAGyPn3WApM+pnBlNVxgDnADbWJG5Y+LyCpqwa8ZYXUfczJSWZSO4GkbNcBUPjAs8PKYkN1g1/F5t17svPWZd63j8SJS7U8KTI/ierOOQwS4WXU946Nv7xitkdJJH1KXvu3BhVgSx7YfbuWQyGFlImnnOVpHf6VyfYBp8xAhL3af15uj0JssKb3AcOESI6/PMsqDO5072ZTTuyHAzGa0PSum3YOL+f42dvC6ITrYZcrKqiDh3btiahJjSF36s/FlGCrk5B/GnqUrR54jeFZRAT1P6dSPNSyUD1dkHV8pBq8xznOPMdWY9k7+qMVNubFWaWqzacuUldXNdJQj5/6owO1h9iF16S92aEGVNIzdrPW370oJFe8RPAuObGbRFLQ6EpOdtjM0w255mzswwRV5il77mGEmLcx+6nUfJr2PUJcpK8tYfxBiLzPnFuqepZXH0LoceuaJydjGbmG2WN95PBnAAe9eN9au5KWkkjUssfhVDXT2YHfNcill5w5MxpxMlJZcWWtxY76/umgE88t6QdYbY6IXOtmp7GouA9q3rm0zprgau8WMhXo7dm/zbRlHGFN5j+CF2FAXtQSoXCwWrup/SycY7JJ7XMLpnIGpY056mCVg2tgotHTqni0zKJncGmBSXpU95pKpG5vKLPapa+cgnC+bNIlNsgKCdwcLUT62IjKXbCmUjuDFwMCY0AHdugnLWPnGAKzj0/1xZOi65V9A5pyBiSfDYYqkvEvAtJk0jVGwrjcKcaDbm9ouWbep3uu3WPTECa7i9UK542D6iQgynapo/HaPEPtmuX3cPnV1DmJurI3dQsNpAQFwcrfsARdfYuhzUEMNdCqGtcnDmBurbi5eCK70I0Klo4AefdlsYNrsO/K1J+FK/DFO9qKT8s4B02bSSPx8KYSbsV3oQ6H3CwpcYm7q9wiWm+Th85f88JUQnwjJARSF5JK1HsjmBBJyKn37hf68dWmbFYWHFS0856qndJib8HqWGp195N26UCojW3MELzVnOWDneKQ93fZA7k9ExthXTzYLmMwdxweRa/h4dEC9k2zolwOmtcbevaW+Qmz1ppMACnyh0JCYTl3qUuZ3kaPEYzhFiK8NlLaJFsWXJgF3SIfZvdMcMG0mreTyLmpgrZ/xJVBzBC/XOyvBTQMBPv7o5tWi5/L5Bsc5wGna33N7YF7Db9x4JaArnfcIXqldVt/tQjVbLqU2t8p7PNBU8u1/Y0wB0yYOlj3Bs1UmdjPGQfyqN1TGal/j5wbOPRJFJtz4cX+dPgZM/OAXhfRCawPmWCo7v3Zqj+B5R4AODb3o7O1rGcqRYKu6wRICU2/Lxwb7em3jyyCxFeYRr+itbsVcYTHMc+gtqTPPeVkEV6xqfL+pypIvgrHWR/1HlJrMmgSaBBYggbZiLkDIrYsmgVoJNGDWSqyVbxJYgAT+Axp7sER2BtLcAAAAAElFTkSuQmCC" alt="p = 100m/(n+1)" style="width: 115px; height: 18.5px;" width="115" height="18.5"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.7833px 8px; transform-origin: 63.7833px 8px; unicode-bidi: normal; ">. Compute the flows corresponding to the requested exceedance probabilities with linear interpolation and return <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 8px; transform-origin: 11.55px 8px; unicode-bidi: normal; ">NaN<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.2833px 8px; transform-origin: 87.2833px 8px; unicode-bidi: normal; "> for any probabilities that fall outside the range. </div></div></div>

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Problem 57605. Determine flows of given probability using empirical frequency analysis

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