SAP HANA Predictive Analysis Library (PAL)

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INSERT INTO PAL_AUC_DATA2_TBL VALUES(3,2,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(3,3,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(4,1,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(4,2,0.8); INSERT INTO PAL_AUC_DATA2_TBL VALUES(4,3,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(5,1,0.2); INSERT INTO PAL_AUC_DATA2_TBL VALUES(5,2,0.7); INSERT INTO PAL_AUC_DATA2_TBL VALUES(5,3,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(6,1,0.05); INSERT INTO PAL_AUC_DATA2_TBL VALUES(6,2,0.9); INSERT INTO PAL_AUC_DATA2_TBL VALUES(6,3,0.05); INSERT INTO PAL_AUC_DATA2_TBL VALUES(7,1,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(7,2,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(7,3,0.8); INSERT INTO PAL_AUC_DATA2_TBL VALUES(8,1,0); INSERT INTO PAL_AUC_DATA2_TBL VALUES(8,2,0); INSERT INTO PAL_AUC_DATA2_TBL VALUES(8,3,1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(9,1,0.2); INSERT INTO PAL_AUC_DATA2_TBL VALUES(9,2,0.1); INSERT INTO PAL_AUC_DATA2_TBL VALUES(9,3,0.7); INSERT INTO PAL_AUC_DATA2_TBL VALUES(10,1,0.2); INSERT INTO PAL_AUC_DATA2_TBL VALUES(10,2,0.2); INSERT INTO PAL_AUC_DATA2_TBL VALUES(10,3,0.6); DROP TABLE #PAL_CONTROL_TBL; CREATE LOCAL TEMPORARY COLUMN TABLE #PAL_CONTROL_TBL LIKE PAL_CONTROL_T; INSERT INTO #PAL_CONTROL_TBL VALUES('THREAD_NUMBER',1,NULL,NULL); DROP TABLE PAL_AUC_TBL; CREATE COLUMN TABLE PAL_AUC_TBL LIKE PAL_AUC_T; DROP TABLE PAL_ROC_TBL; CREATE COLUMN TABLE PAL_ROC_TBL LIKE PAL_ROC_T; CALL DM_PAL.PAL_AUC(PAL_AUC_DATA_TBL,PAL_AUC_DATA2_TBL, #PAL_CONTROL_TBL, PAL_AUC_TBL, PAL_ROC_TBL) with OVERVIEW; SELECT * FROM PAL_AUC_TBL; SELECT * FROM PAL_ROC_TBL; Expected Result PAL_AUC_TBL: PAL_ROC_TBL: 124 P U B L I C SAP HANA Predictive Analysis Library (PAL) PAL Functions
3.2.2 Back Propagation Neural Network Neural network is a calculation model inspired by biological nervous system. The functionality of neural network is determined by its network structure and connection weights between neurons. Back propagation neural network (BPNN) is one of the very popular types for its training method called back propagation. Single Neuron A neuron takes signals from outside and transforms them to a single value as output: ● The function F is called activate function. ● x i ( i = 1, 2, …, n ) is the outside signal and b is a constant bias usually set to 1. ● w i ( i = 0, 1, …, n ) is the weight value on each connection. Neural Network Structure A neural network consists of three parts: input layer, hidden layer(s), and output layer. Each layer owns several neurons and there are connections between layers. Signals are given in input layer and transmit through connections and layers. Finally output layer gives transformed signals. Steps SAP HANA Predictive Analysis Library (PAL) PAL Functions P U B L I C 125
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SAP HANA Platform SPS 12 Document V
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Naive Bayes. ......................
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1 What is PAL? SAP HANA’s SQLScri
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2 Getting Started with PAL This sec
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The result will tell you whether th
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● : The name of the schema where
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CREATE COLUMN TABLE PAL_ARIMAX_DATA
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For more information on how to use
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Category PAL Algorithm Built-in Fun
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Category PAL Algorithm Built-in Fun
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The procedure name is the same as s
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● USER1 has been assigned the AFL
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3.1.2 Agglomerate Hierarchical Clus
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Table 13: Name Data Type Default Va
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Name Data Type Default Value Descri
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INSERT INTO DATA_TBL VALUES ('17',
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Prerequisites ● ● The input dat
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INSERT INTO PAL_AD_DATA_TBL VALUES
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The signature table should contain
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CREATE TYPE PAL_KMEANS_CENTERS_T AS
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PAL_CLUSTER_ASSIGNED_TBL: For DBSCA
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For SOM: SET SCHEMA DM_PAL; DROP TY
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PAL_CLUSTER_ASSIGNED_TBL: Related I
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Table 24: Name Data Type Descriptio
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DROP TYPE PAL_CONTROL_T; CREATE TYP
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3.1.6 Gaussian Mixture Model (GMM)
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Table 29: Name Data Type Descriptio
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Output Tables Output format 0: Tabl
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INSERT INTO PAL_GMM_PDATA_TBL VALUE
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Example 2 SET SCHEMA DM_PAL; DROP T
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PAL_GMM_RESULTSMODEL_TBL: 3.1.7 K-M
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Table 43: Table Column Column Data
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INSERT INTO #PAL_CONTROL_TBL VALUES
Page 73 and 74: PAL_KMEANS_MODEL_TBL: VALIDATEKMEAN
Page 75 and 76: "V000" DOUBLE, "A0" INTEGER, "A1" I
Page 77 and 78: Expected Result PAL_SILHOUETTE_RESU
Page 79 and 80: Table Column Column Data Type Descr
Page 81 and 82: Example Assume that: ● ● ● DM
Page 83 and 84: PAL_KMEDIANS_ASSIGN_TBL: 3.1.9 K-Me
Page 85 and 86: Position Schema Name Table Type Nam
Page 87 and 88: Name Data Type Default Value Descri
Page 89 and 90: INSERT INTO #PAL_CONTROL_TBL VALUES
Page 91 and 92: The input, parameter, and output ta
Page 93 and 94: Table 67: Table Column Column Data
Page 95 and 96: INSERT INTO PARAMETERS_TBL VALUES (
Page 97 and 98: DOCTOPICDIST_TBL: GENERALINFO_TBL:
Page 99 and 100: Procedure Calling CALL .(, , ) with
Page 103 and 104: Expected Result DOCTOPICDIST_TBL: 3
Page 105 and 106: The following parameters are option
Page 109 and 110: INSERT INTO #PAL_CONTROL_TBL VALUES
Page 111 and 112: CREATE TYPE PAL_SOM_MODEL_T AS TABL
Page 113 and 114: PAL_SOM_RESASSIGN_TBL: PAL_SOM_MODE
Page 115 and 116: Table 78: Table Column Column Data
Page 117 and 118: INSERT INTO PAL_SLIGHT_SIL_PDATA_TB
Page 119 and 120: AUC Procedure Generation CALL SYS.A
Page 121 and 122: Table 85: Name Data Type Default Va
Page 123: Example 2 SET SCHEMA DM_PAL; DROP T
Page 127 and 128: CREATEBPNN This function trains a B
Page 131 and 132: INSERT INTO PAL_TRAIN_NN_DATA_TBL V
Page 133 and 134: PAL_TRAIN_NN_RESULT_TBL: PAL_REGRES
Page 135 and 136: Classification example: SET SCHEMA
Page 137 and 138: "NAME" VARCHAR(100), "MODEL" CLOB )
Page 139 and 140: The signature table should contain
Page 143 and 144: CREATE TYPE PAL_C45_DATA_T AS TABLE
Page 145 and 146: CART This function is used for clas
Page 151 and 152: Prerequisites ● ● The target co
Page 157 and 158: PAL_CHAID_TREEMODEL_TBL: PAL_CHAID_
Page 161 and 162: INSERT INTO PAL_CM_DATA_TBL VALUES(
Page 163 and 164: The following parameters are option
Page 165 and 166: PAL_KNN_RESULTS_TBL: 3.2.8 Logistic
Page 167 and 168: Procedure Calling CALL .(, , , , )
Page 173 and 174: PAL_LOGISTICR_STAT_TBL: PAL_LOGISTI
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Procedure Generation CALL SYS.AFLLA
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Assume that: ● ● ● DM_PAL is
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PAL_FLOGISTICR_FITTED_TBL: Related
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Expected Result PAL_LRMC_MODEL_TBL:
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Table 137: Name Data Type Default V
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SAP HANA Predictive Analysis Librar
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CALL SYS.AFLLANG_WRAPPER_PROCEDURE_
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3.2.10 Naive Bayes Naive Bayes is a
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Table Column Column Data Type Descr
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● ● USER1 has been assigned the
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"DOUBLEARGS" DOUBLE, "STRINGARGS" V
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Position Schema Name Table Type Nam
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DROP TABLE CV_LR_FUNC_TBL; CREATE C
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CREATE COLUMN TABLE FUNC_TBL LIKE F
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DROP TABLE EVALUATION_RESULT_TBL; C
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INSERT INTO PAL_PARA_TBL VALUES('TR
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3.2.13 Random Forest The ransom for
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INSERT INTO PAL_RF_DATA_TBL VALUES
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3.2.14 Support Vector Machine Suppo
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Table 168: Name Data Type Descripti
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CREATE TABLE PAL_SVM_PDATA_TBL("POS
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STRINGARGS VARCHAR(100) ); DROP TYP
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Example 3: Support vector classific
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Related Information SAP HANA Smart
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INSERT INTO PAL_GR_PDATA_TBL values
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Procedure Calling CALL .(, , , ) wi
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3.3.2 Bi-Variate Natural Logarithmi
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CREATE LOCAL TEMPORARY COLUMN TABLE
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Where β0…βn are parameters that
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Assume we have m observation pairs
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Example 1: Fitting multiple linear
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CREATE COLUMN TABLE PAL_ENET_MLR_PD
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3.3.5 Polynomial Regression Polynom
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insert into PAL_PR_PDATA_TBL values
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The input, parameter, and output ta
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3.4 Association Algorithms This sec
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"STRINGARGS" VARCHAR (100) ); INSER
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Optional Parameters The following p
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INSERT INTO PAL_APRIORI_DATA_TBL VA
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PAL_APRIORI_CONS_ITEMS_TBL: LITEAPR
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INSERT INTO PAL_LITEAPRIORI_DATA_TB
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FPGROWTH (Relational Output) FP-Gro
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); DROP TYPE PAL_FPGROWTH_POSTRULE_
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PAL_FPGROWTH_VALUES_TBL: 3.4.3 K-Op
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INSERT INTO PAL_KORD_DATA_TBL VALUE
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Prerequisite No missing or null dat
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. Initial P 0 can be calculated by
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Output Table (Model Table) Table 24
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DROP TYPE PAL_ARIMAX_DATA_T; CREATE
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CALL "SYS".AFLLANG_WRAPPER_PROCEDUR
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We get And variance of the forecast
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CREATE COLUMN TABLE PAL_ARIMA_PDATA
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INSERT INTO PAL_ARIMAX_DATA_TBL VAL
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3.5.2 Auto ARIMA This function auto
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Example 3: Auto Seasonal ARIMA SET
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INSERT INTO PAL_ARIMA_DATA_TBL VALU
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INSERT INTO PAL_ARIMA_DATA_TBL VALU
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F 1 = a 0 + b 0 2. Calculation: S t
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INSERT INTO PAL_BROWNSMOOTH_DATA_TB
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3.5.4 Croston's Method The Croston
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SELECT * FROM PAL_CROSTON_STATISTIC
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PAL_FORECASTACCURACYMEASURES_RESULT
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PAL_OUTPARAMETER_TBL: PAL_FORECASTS
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PAL_OUTPARAMETER_TBL: SAP HANA Pred
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CREATE TYPE PAL_CONTROL_T AS TABLE
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PAL_FORECASTTRIPLESMOOTHING_RESULT_
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PAL_OUTPARAMETER_TBL: PAL_FORECASTM
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PAL_OUTPARAMETER_TBL: PAL_FORECASTM
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Procedure Calling CALL .(, , , ) wi
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PAL_FORECASTSLR_RESULT_TBL: PAL_FOR
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Note The algorithm is backward comp
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INSERT INTO #PAL_CONTROL_TBL VALUES
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Note F 0 is not defined because the
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CREATE COLUMN TABLE PAL_DOUBLESMOOT
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3.5.10 Triple Exponential Smoothing
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PAL calculates the prediction inter
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Output Table Table 294: Table Colum
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PAL_TRIPLESMOOTH_RESULT_TBL: PAL_TR
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Once the trend and seasonality are
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CREATE COLUMN TABLE PAL_TSSEASONALI
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The difference-sign test counts the
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Optional Parameters The following p
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PAL_TSTREND_TREND_TBL: PAL_TSTREND_
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Parameter Table Mandatory Parameter
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3.6 Preprocessing Algorithms The re
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● ● Smoothing by bin medians: e
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3.6.2 Binning Assignment Binning as
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3.6.3 Convert Category Type to Bina
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"NAME" VARCHAR(100), "INTARGS" INTE
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Procedure Generation CALL SYS.AFLLA
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INSERT INTO PAL_IQR_TESTDT_TBL VALU
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PARTITION This function reads the i
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3.6.6 Posterior Scaling Posterior s
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Expected Result PAL_NEW_SCALING_TBL
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The following parameters are option
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INSERT INTO PAL_PCA_DATA_TBL VALUES
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INSERT INTO PAL_PCAPROJ_PDATA_TBL V
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INSERT INTO PAL_DISTRRANDOM_PDATA_T
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INSERT INTO PAL_SAMPLING_DATA_TBL V
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If method is 4 and SAMPLING_SIZE is
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DROP TABLE PAL_SAMPLING_PDATA_TBL;
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Expected Result 3.6.10 Scaling Rang
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Prerequisite Each column must conta
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PAL_MISSING_VALUES_RESULT_TBL: PAL_
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INSERT INTO PAL_VT_DATA_TBL VALUES
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3.7.2 Chi-Squared Test for Independ
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DISTRPROB This function calculates
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"VALUE" DOUBLE ); DROP TABLE PDATA_
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"DOUBLEARGS" DOUBLE, "STRINGARGS" V
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"TYPE_NAME" NVARCHAR(256), "PARAMET
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2. Calculate PAL also supports the
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The Kaplan-Meier estimator can be r
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PAL_KMSURV_LOGRANK_STAT2_TBL: 3.7.7
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CREATE TYPE PAL_DISTRQUANTILE_RESUL
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where x' = x - Table 404: Definitio
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Let the sample mean of x and y be:
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CREATE TYPE PAL_VAREQUALTEST_DATA1_
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The quantity is computed as a weigh
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Prerequisites ● ● Input data ca
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"PARAMETER_TYPE" VARCHAR(7) ); INSE
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Signature Input Tables Table 425: T
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CALL "SYS".AFLLANG_WRAPPER_PROCEDUR
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"DISTANCE" DOUBLE ); DROP TYPE PAL_
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"STRINGARGS" VARCHAR(100) ); --crea
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The projected estimates are single
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INSERT INTO PDATA VALUES (2, 'DM_PA
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----product revenue---- DELETE FROM
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---- calculate net present value of
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UPDATE PAL_DISTRPROB_DISTRPARAM_TBL
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Then we get the survival estimates
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INSERT INTO PAL_TRIAL_DATA_TBL VALU
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INSERT INTO PAL_DISTRFITCENSORED_DA
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The expected results are as follows
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); INSERT INTO PAL_DISTRPROB_PDATA_
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Important Disclaimers and Legal Inf
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SAP HANA Predictive Analysis Library (PAL)

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