{"id":6383,"date":"2018-06-05T20:49:07","date_gmt":"2018-06-05T18:49:07","guid":{"rendered":"http:\/\/ggp.bkg.bund.de\/eterna\/?page_id=6383"},"modified":"2023-07-06T14:18:39","modified_gmt":"2023-07-06T12:18:39","slug":"the-stochastic-model","status":"publish","type":"page","link":"\/eterna\/?page_id=6383","title":{"rendered":"4. The stochastic model"},"content":{"rendered":"<ul>\n<li>Redesign of the stochastic model now fully based on Least Squares and statistical theory.<\/li>\n<li>Statistical hypothesis tests on normal distribution of the observations (Kolmogorov &#8211; Smirnow, \u03c7^2 ).<\/li>\n<li>Overall correlation analysis of the estimated parameters by the <strong>\u201cSpectral Correlation Viewer (SCV)\u201d<\/strong>.<\/li>\n<li>The <strong>\u201cCorrelation RMSE Amplifier CRA\u201d<\/strong> for verifying disadvantageous impacts of algebraic correlations of the LS parameters.<\/li>\n<li>Generation of consistent residual spectra derived from the autocovariance function of the residuals to derive <strong>frequency dependent RMSE m0,i <\/strong>of arbitrary spectral domains di over the whole Nyquist interval.<\/li>\n<li>Derivation of <strong>95% confidence intervals<\/strong> for the frequency dependent RMSE m0,i and all estimated parameters.<\/li>\n<li><strong>Relative RMSEs (rRMSE)<\/strong> of the amplitude quotients and\/or amplitudes for real and best circumstances as measures of achievable precisions for a specific station and observation record.<\/li>\n<li><strong>Quality criteria<\/strong> based on rRMSE, CRA, record lengths and signal strengths.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Redesign of the stochastic model now fully based on Least Squares and statistical theory. Statistical hypothesis tests on normal distribution of the observations (Kolmogorov &#8211; Smirnow, \u03c7^2 ). Overall correlation analysis of the estimated parameters by the \u201cSpectral Correlation Viewer (SCV)\u201d. The \u201cCorrelation RMSE Amplifier CRA\u201d for verifying disadvantageous impacts of algebraic correlations of the\u2026 <span class=\"read-more\"><a href=\"\/eterna\/?page_id=6383\">Read More &raquo;<\/a><\/span><\/p>\n","protected":false},"author":13,"featured_media":0,"parent":10113,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"\/eterna\/index.php?rest_route=\/wp\/v2\/pages\/6383"}],"collection":[{"href":"\/eterna\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"\/eterna\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"\/eterna\/index.php?rest_route=\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"\/eterna\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6383"}],"version-history":[{"count":17,"href":"\/eterna\/index.php?rest_route=\/wp\/v2\/pages\/6383\/revisions"}],"predecessor-version":[{"id":10263,"href":"\/eterna\/index.php?rest_route=\/wp\/v2\/pages\/6383\/revisions\/10263"}],"up":[{"embeddable":true,"href":"\/eterna\/index.php?rest_route=\/wp\/v2\/pages\/10113"}],"wp:attachment":[{"href":"\/eterna\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}